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Finding the Fourth Proportional to 10,517.75, 15,744.42 and 6,812.61

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Solution

The fourth proportional to 10,517.75, 15,744.42 and 6,812.61 is: 10,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.75 : 15,744.42 = 6,812.61 : x
  2. Step 2: Convert to fraction form
    10,517.75/15,744.42 = 6,812.61/x
  3. Step 3: Cross multiply
    10,517.75x = 15,744.42 × 6,812.61
  4. Step 4: Simplify right side
    10,517.75x = 107,260,593.14
  5. Step 5: Solve for x
    x = 107,260,593.14/10,517.75
  6. Step 6: Final answer
    x = 10,198.06

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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.