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Finding the Fourth Proportional to 8,098.92, 12,148.38 and 4,195.13

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Solution

The fourth proportional to 8,098.92, 12,148.38 and 4,195.13 is: 6,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.92 : 12,148.38 = 4,195.13 : x
  2. Step 2: Convert to fraction form
    8,098.92/12,148.38 = 4,195.13/x
  3. Step 3: Cross multiply
    8,098.92x = 12,148.38 × 4,195.13
  4. Step 4: Simplify right side
    8,098.92x = 50,963,972.65
  5. Step 5: Solve for x
    x = 50,963,972.65/8,098.92
  6. Step 6: Final answer
    x = 6,292.69

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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.