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Finding the Fourth Proportional to 11,418.72, 15,738.97 and 7,640.53

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Solution

The fourth proportional to 11,418.72, 15,738.97 and 7,640.53 is: 10,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.72 : 15,738.97 = 7,640.53 : x
  2. Step 2: Convert to fraction form
    11,418.72/15,738.97 = 7,640.53/x
  3. Step 3: Cross multiply
    11,418.72x = 15,738.97 × 7,640.53
  4. Step 4: Simplify right side
    11,418.72x = 120,254,072.45
  5. Step 5: Solve for x
    x = 120,254,072.45/11,418.72
  6. Step 6: Final answer
    x = 10,531.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.