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Finding the Fourth Proportional to 8,284.97, 12,424.82 and 2,737.28

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Solution

The fourth proportional to 8,284.97, 12,424.82 and 2,737.28 is: 4,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.97 : 12,424.82 = 2,737.28 : x
  2. Step 2: Convert to fraction form
    8,284.97/12,424.82 = 2,737.28/x
  3. Step 3: Cross multiply
    8,284.97x = 12,424.82 × 2,737.28
  4. Step 4: Simplify right side
    8,284.97x = 34,010,135.48
  5. Step 5: Solve for x
    x = 34,010,135.48/8,284.97
  6. Step 6: Final answer
    x = 4,105.04

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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.