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Finding the Fourth Proportional to 10,517.59, 15,744.18 and 6,812.45

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Solution

The fourth proportional to 10,517.59, 15,744.18 and 6,812.45 is: 10,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.59 : 15,744.18 = 6,812.45 : x
  2. Step 2: Convert to fraction form
    10,517.59/15,744.18 = 6,812.45/x
  3. Step 3: Cross multiply
    10,517.59x = 15,744.18 × 6,812.45
  4. Step 4: Simplify right side
    10,517.59x = 107,256,439.04
  5. Step 5: Solve for x
    x = 107,256,439.04/10,517.59
  6. Step 6: Final answer
    x = 10,197.82

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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.