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Finding the Fourth Proportional to 8,032.92, 12,044.52 and 5,427.96

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Solution

The fourth proportional to 8,032.92, 12,044.52 and 5,427.96 is: 8,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.92 : 12,044.52 = 5,427.96 : x
  2. Step 2: Convert to fraction form
    8,032.92/12,044.52 = 5,427.96/x
  3. Step 3: Cross multiply
    8,032.92x = 12,044.52 × 5,427.96
  4. Step 4: Simplify right side
    8,032.92x = 65,377,172.78
  5. Step 5: Solve for x
    x = 65,377,172.78/8,032.92
  6. Step 6: Final answer
    x = 8,138.66

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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.