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Finding the Fourth Proportional to 8,678.31, 13,016.03 and 2,834.92

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Solution

The fourth proportional to 8,678.31, 13,016.03 and 2,834.92 is: 4,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.31 : 13,016.03 = 2,834.92 : x
  2. Step 2: Convert to fraction form
    8,678.31/13,016.03 = 2,834.92/x
  3. Step 3: Cross multiply
    8,678.31x = 13,016.03 × 2,834.92
  4. Step 4: Simplify right side
    8,678.31x = 36,899,405.86
  5. Step 5: Solve for x
    x = 36,899,405.86/8,678.31
  6. Step 6: Final answer
    x = 4,251.91

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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.