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Finding the Fourth Proportional to 8,171.28, 12,257.72 and 2,624.72

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Solution

The fourth proportional to 8,171.28, 12,257.72 and 2,624.72 is: 3,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.28 : 12,257.72 = 2,624.72 : x
  2. Step 2: Convert to fraction form
    8,171.28/12,257.72 = 2,624.72/x
  3. Step 3: Cross multiply
    8,171.28x = 12,257.72 × 2,624.72
  4. Step 4: Simplify right side
    8,171.28x = 32,173,082.84
  5. Step 5: Solve for x
    x = 32,173,082.84/8,171.28
  6. Step 6: Final answer
    x = 3,937.34

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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.