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Finding the Fourth Proportional to 8,265.27, 12,397.92 and 6,801.36

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Solution

The fourth proportional to 8,265.27, 12,397.92 and 6,801.36 is: 10,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.27 : 12,397.92 = 6,801.36 : x
  2. Step 2: Convert to fraction form
    8,265.27/12,397.92 = 6,801.36/x
  3. Step 3: Cross multiply
    8,265.27x = 12,397.92 × 6,801.36
  4. Step 4: Simplify right side
    8,265.27x = 84,322,717.17
  5. Step 5: Solve for x
    x = 84,322,717.17/8,265.27
  6. Step 6: Final answer
    x = 10,202.05

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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.