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Finding the Fourth Proportional to 8,116.78, 12,167.86 and 2,919

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Solution

The fourth proportional to 8,116.78, 12,167.86 and 2,919 is: 4,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.78 : 12,167.86 = 2,919 : x
  2. Step 2: Convert to fraction form
    8,116.78/12,167.86 = 2,919/x
  3. Step 3: Cross multiply
    8,116.78x = 12,167.86 × 2,919
  4. Step 4: Simplify right side
    8,116.78x = 35,517,983.34
  5. Step 5: Solve for x
    x = 35,517,983.34/8,116.78
  6. Step 6: Final answer
    x = 4,375.87

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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.