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Finding the Fourth Proportional to 8,031.52, 12,052.40 and 3,414.52

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Solution

The fourth proportional to 8,031.52, 12,052.40 and 3,414.52 is: 5,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.52 : 12,052.40 = 3,414.52 : x
  2. Step 2: Convert to fraction form
    8,031.52/12,052.40 = 3,414.52/x
  3. Step 3: Cross multiply
    8,031.52x = 12,052.40 × 3,414.52
  4. Step 4: Simplify right side
    8,031.52x = 41,153,160.85
  5. Step 5: Solve for x
    x = 41,153,160.85/8,031.52
  6. Step 6: Final answer
    x = 5,123.96

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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.