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Finding the Fourth Proportional to 10,714.15, 16,073.12 and 3,694.92

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Solution

The fourth proportional to 10,714.15, 16,073.12 and 3,694.92 is: 5,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.15 : 16,073.12 = 3,694.92 : x
  2. Step 2: Convert to fraction form
    10,714.15/16,073.12 = 3,694.92/x
  3. Step 3: Cross multiply
    10,714.15x = 16,073.12 × 3,694.92
  4. Step 4: Simplify right side
    10,714.15x = 59,388,892.55
  5. Step 5: Solve for x
    x = 59,388,892.55/10,714.15
  6. Step 6: Final answer
    x = 5,543.03

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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.