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Finding the Fourth Proportional to 10,920.48, 16,388.86 and 8,115.78

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Solution

The fourth proportional to 10,920.48, 16,388.86 and 8,115.78 is: 12,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.48 : 16,388.86 = 8,115.78 : x
  2. Step 2: Convert to fraction form
    10,920.48/16,388.86 = 8,115.78/x
  3. Step 3: Cross multiply
    10,920.48x = 16,388.86 × 8,115.78
  4. Step 4: Simplify right side
    10,920.48x = 133,008,323.58
  5. Step 5: Solve for x
    x = 133,008,323.58/10,920.48
  6. Step 6: Final answer
    x = 12,179.72

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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.