Baltimore has been eliminated from first place.

To show that Baltimore is eliminated from first place, we start with the current standings:
            Team	W	L	GL	PCT	GB
         Toronto	89	62	11	0.589	0.0
        New York	84	67	11	0.556	5.0
          Boston	82	69	11	0.543	7.0
       Tampa Bay	73	78	11	0.483	16.0
       Baltimore	71	80	11	0.470	18.0
           Total	399	356	55

Baltimore can finish the season with at most 71 + 11 = 82 wins and will finish the season behind the following teams:
Toronto has already won 89 games.
New York has already won 84 games.
# Baltimore Orioles' magic number
# Baltimore's magic number
# Orioles' magic number
# MLB Playoff Race