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Finding the Fourth Proportional to 10,472.52, 15,708.74 and 2,575.07

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Solution

The fourth proportional to 10,472.52, 15,708.74 and 2,575.07 is: 3,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.52 : 15,708.74 = 2,575.07 : x
  2. Step 2: Convert to fraction form
    10,472.52/15,708.74 = 2,575.07/x
  3. Step 3: Cross multiply
    10,472.52x = 15,708.74 × 2,575.07
  4. Step 4: Simplify right side
    10,472.52x = 40,451,026.57
  5. Step 5: Solve for x
    x = 40,451,026.57/10,472.52
  6. Step 6: Final answer
    x = 3,862.59

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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.