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Finding the Fourth Proportional to 8,069.28, 12,087.72 and 5,882.64

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Solution

The fourth proportional to 8,069.28, 12,087.72 and 5,882.64 is: 8,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.28 : 12,087.72 = 5,882.64 : x
  2. Step 2: Convert to fraction form
    8,069.28/12,087.72 = 5,882.64/x
  3. Step 3: Cross multiply
    8,069.28x = 12,087.72 × 5,882.64
  4. Step 4: Simplify right side
    8,069.28x = 71,107,705.18
  5. Step 5: Solve for x
    x = 71,107,705.18/8,069.28
  6. Step 6: Final answer
    x = 8,812.15

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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.