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Finding the Fourth Proportional to 10,787.52, 16,167.84 and 3,854.40

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Solution

The fourth proportional to 10,787.52, 16,167.84 and 3,854.40 is: 5,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.52 : 16,167.84 = 3,854.40 : x
  2. Step 2: Convert to fraction form
    10,787.52/16,167.84 = 3,854.40/x
  3. Step 3: Cross multiply
    10,787.52x = 16,167.84 × 3,854.40
  4. Step 4: Simplify right side
    10,787.52x = 62,317,322.50
  5. Step 5: Solve for x
    x = 62,317,322.50/10,787.52
  6. Step 6: Final answer
    x = 5,776.80

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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.