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
        TampaBay	98	64	0	0.605	0.0
       NYYankees	93	68	1	0.578	4.5
          Boston	87	75	0	0.537	11.0
       Baltimore	79	82	1	0.491	18.5
         Toronto	79	83	0	0.488	19.0
           Total	436	372	2

Baltimore can finish the season with at most 79 + 1 = 80 wins and will finish the season behind the following teams:
TampaBay has already won 98 games.
NYYankees has already won 93 games.
Boston has already won 87 games.
# Baltimore Orioles' magic number
# Baltimore's magic number
# Orioles' magic number
# MLB Playoff Race