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Finding the Fourth Proportional to 10,727.46, 16,057.17 and 10,319.22

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Solution

The fourth proportional to 10,727.46, 16,057.17 and 10,319.22 is: 15,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.46 : 16,057.17 = 10,319.22 : x
  2. Step 2: Convert to fraction form
    10,727.46/16,057.17 = 10,319.22/x
  3. Step 3: Cross multiply
    10,727.46x = 16,057.17 × 10,319.22
  4. Step 4: Simplify right side
    10,727.46x = 165,697,469.81
  5. Step 5: Solve for x
    x = 165,697,469.81/10,727.46
  6. Step 6: Final answer
    x = 15,446.10

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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.