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Finding the Fourth Proportional to 10,951.52, 16,415.76 and 5,468

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Solution

The fourth proportional to 10,951.52, 16,415.76 and 5,468 is: 8,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.52 : 16,415.76 = 5,468 : x
  2. Step 2: Convert to fraction form
    10,951.52/16,415.76 = 5,468/x
  3. Step 3: Cross multiply
    10,951.52x = 16,415.76 × 5,468
  4. Step 4: Simplify right side
    10,951.52x = 89,761,375.68
  5. Step 5: Solve for x
    x = 89,761,375.68/10,951.52
  6. Step 6: Final answer
    x = 8,196.25

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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.