Shortstop Jose Iglesias smacked a three-run homer in a four-run fourth and that was the difference in the Tigers' 8-4 win at Kansas City.
Matthew Boyd entered the game 4-9 before holding the Royals to two runs over six innings.
Mike Moustakas doubled home a run and had two hits in what might have been his final home game for the Royals.
He could be moved prior to the July 31st non-waive trade deadline.