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Finding the Fourth Proportional to 7,732.48, 11,600.88 and 2,542

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Solution

The fourth proportional to 7,732.48, 11,600.88 and 2,542 is: 3,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.48 : 11,600.88 = 2,542 : x
  2. Step 2: Convert to fraction form
    7,732.48/11,600.88 = 2,542/x
  3. Step 3: Cross multiply
    7,732.48x = 11,600.88 × 2,542
  4. Step 4: Simplify right side
    7,732.48x = 29,489,436.96
  5. Step 5: Solve for x
    x = 29,489,436.96/7,732.48
  6. Step 6: Final answer
    x = 3,813.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.