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Finding the Fourth Proportional to 10,774.42, 16,137.02 and 9,691.85

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Solution

The fourth proportional to 10,774.42, 16,137.02 and 9,691.85 is: 14,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.42 : 16,137.02 = 9,691.85 : x
  2. Step 2: Convert to fraction form
    10,774.42/16,137.02 = 9,691.85/x
  3. Step 3: Cross multiply
    10,774.42x = 16,137.02 × 9,691.85
  4. Step 4: Simplify right side
    10,774.42x = 156,397,641.86
  5. Step 5: Solve for x
    x = 156,397,641.86/10,774.42
  6. Step 6: Final answer
    x = 14,515.65

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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.