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Finding the Fourth Proportional to 8,882.62, 12,250.10 and 5,735.50

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Solution

The fourth proportional to 8,882.62, 12,250.10 and 5,735.50 is: 7,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.62 : 12,250.10 = 5,735.50 : x
  2. Step 2: Convert to fraction form
    8,882.62/12,250.10 = 5,735.50/x
  3. Step 3: Cross multiply
    8,882.62x = 12,250.10 × 5,735.50
  4. Step 4: Simplify right side
    8,882.62x = 70,260,448.55
  5. Step 5: Solve for x
    x = 70,260,448.55/8,882.62
  6. Step 6: Final answer
    x = 7,909.88

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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.