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Finding the Fourth Proportional to 8,002.71, 11,049.57 and 5,171.76

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Solution

The fourth proportional to 8,002.71, 11,049.57 and 5,171.76 is: 7,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.71 : 11,049.57 = 5,171.76 : x
  2. Step 2: Convert to fraction form
    8,002.71/11,049.57 = 5,171.76/x
  3. Step 3: Cross multiply
    8,002.71x = 11,049.57 × 5,171.76
  4. Step 4: Simplify right side
    8,002.71x = 57,145,724.14
  5. Step 5: Solve for x
    x = 57,145,724.14/8,002.71
  6. Step 6: Final answer
    x = 7,140.80

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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.