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Finding the Fourth Proportional to 11,126.60, 16,691.70 and 3,729.50

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Solution

The fourth proportional to 11,126.60, 16,691.70 and 3,729.50 is: 5,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,126.60 : 16,691.70 = 3,729.50 : x
  2. Step 2: Convert to fraction form
    11,126.60/16,691.70 = 3,729.50/x
  3. Step 3: Cross multiply
    11,126.60x = 16,691.70 × 3,729.50
  4. Step 4: Simplify right side
    11,126.60x = 62,251,695.15
  5. Step 5: Solve for x
    x = 62,251,695.15/11,126.60
  6. Step 6: Final answer
    x = 5,594.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.