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Finding the Fourth Proportional to 8,724.64, 12,022.80 and 5,737.12

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Solution

The fourth proportional to 8,724.64, 12,022.80 and 5,737.12 is: 7,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.64 : 12,022.80 = 5,737.12 : x
  2. Step 2: Convert to fraction form
    8,724.64/12,022.80 = 5,737.12/x
  3. Step 3: Cross multiply
    8,724.64x = 12,022.80 × 5,737.12
  4. Step 4: Simplify right side
    8,724.64x = 68,976,246.34
  5. Step 5: Solve for x
    x = 68,976,246.34/8,724.64
  6. Step 6: Final answer
    x = 7,905.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.