Section 7. A person adopted in accordance with this chapter shall take the same share of that property which the adopting parent could dispose of by will as he would have taken if born to such parent in lawful wedlock, and he shall stand to the kindred of such adopting parent in the same position as if so born to him. If the person adopted dies intestate, his property shall be distributed according to chapters one hundred and ninety and one hundred and ninety-six among the persons who would have been his kindred if he had been born to his adopting parent in lawful wedlock. The apportionment and distribution shall be ascertained by the court. A person shall by adoption lose his right to inherit from his natural parents or kindred, except when one of the natural parents of a minor child has died and the surviving parent has remarried subsequent to such parent’s death, subsequent adoption of such child by the person with whom such remarriage is contracted shall not affect the rights of such child to inherit from or through the deceased parent or kindred thereof. The court may decree that the rights of succession to property under this section shall vest in the person adopted as of the date of the filing of the petition for adoption.