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Finding the Fourth Proportional to 8,097.98, 12,139.77 and 3,171.15

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Solution

The fourth proportional to 8,097.98, 12,139.77 and 3,171.15 is: 4,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.98 : 12,139.77 = 3,171.15 : x
  2. Step 2: Convert to fraction form
    8,097.98/12,139.77 = 3,171.15/x
  3. Step 3: Cross multiply
    8,097.98x = 12,139.77 × 3,171.15
  4. Step 4: Simplify right side
    8,097.98x = 38,497,043.53
  5. Step 5: Solve for x
    x = 38,497,043.53/8,097.98
  6. Step 6: Final answer
    x = 4,753.91

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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.