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Finding the Fourth Proportional to 8,171.28, 12,232.14 and 7,391.61

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Solution

The fourth proportional to 8,171.28, 12,232.14 and 7,391.61 is: 11,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.28 : 12,232.14 = 7,391.61 : x
  2. Step 2: Convert to fraction form
    8,171.28/12,232.14 = 7,391.61/x
  3. Step 3: Cross multiply
    8,171.28x = 12,232.14 × 7,391.61
  4. Step 4: Simplify right side
    8,171.28x = 90,415,208.35
  5. Step 5: Solve for x
    x = 90,415,208.35/8,171.28
  6. Step 6: Final answer
    x = 11,065.00

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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.