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Finding the Fourth Proportional to 8,116.92, 12,150.54 and 5,198.04

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Solution

The fourth proportional to 8,116.92, 12,150.54 and 5,198.04 is: 7,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.92 : 12,150.54 = 5,198.04 : x
  2. Step 2: Convert to fraction form
    8,116.92/12,150.54 = 5,198.04/x
  3. Step 3: Cross multiply
    8,116.92x = 12,150.54 × 5,198.04
  4. Step 4: Simplify right side
    8,116.92x = 63,158,992.94
  5. Step 5: Solve for x
    x = 63,158,992.94/8,116.92
  6. Step 6: Final answer
    x = 7,781.15

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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.