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Finding the Fourth Proportional to 10,471.14, 15,711.57 and 6,573.42

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Solution

The fourth proportional to 10,471.14, 15,711.57 and 6,573.42 is: 9,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.14 : 15,711.57 = 6,573.42 : x
  2. Step 2: Convert to fraction form
    10,471.14/15,711.57 = 6,573.42/x
  3. Step 3: Cross multiply
    10,471.14x = 15,711.57 × 6,573.42
  4. Step 4: Simplify right side
    10,471.14x = 103,278,748.47
  5. Step 5: Solve for x
    x = 103,278,748.47/10,471.14
  6. Step 6: Final answer
    x = 9,863.18

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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.