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Finding the Fourth Proportional to 8,067.04, 12,098.54 and 2,871.70

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Solution

The fourth proportional to 8,067.04, 12,098.54 and 2,871.70 is: 4,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.04 : 12,098.54 = 2,871.70 : x
  2. Step 2: Convert to fraction form
    8,067.04/12,098.54 = 2,871.70/x
  3. Step 3: Cross multiply
    8,067.04x = 12,098.54 × 2,871.70
  4. Step 4: Simplify right side
    8,067.04x = 34,743,377.32
  5. Step 5: Solve for x
    x = 34,743,377.32/8,067.04
  6. Step 6: Final answer
    x = 4,306.83

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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.