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Finding the Fourth Proportional to 8,542.29, 11,787.78 and 4,957.35

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Solution

The fourth proportional to 8,542.29, 11,787.78 and 4,957.35 is: 6,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.29 : 11,787.78 = 4,957.35 : x
  2. Step 2: Convert to fraction form
    8,542.29/11,787.78 = 4,957.35/x
  3. Step 3: Cross multiply
    8,542.29x = 11,787.78 × 4,957.35
  4. Step 4: Simplify right side
    8,542.29x = 58,436,151.18
  5. Step 5: Solve for x
    x = 58,436,151.18/8,542.29
  6. Step 6: Final answer
    x = 6,840.81

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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.