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Finding the Fourth Proportional to 8,098.25, 12,148.65 and 2,834.73

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Solution

The fourth proportional to 8,098.25, 12,148.65 and 2,834.73 is: 4,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.25 : 12,148.65 = 2,834.73 : x
  2. Step 2: Convert to fraction form
    8,098.25/12,148.65 = 2,834.73/x
  3. Step 3: Cross multiply
    8,098.25x = 12,148.65 × 2,834.73
  4. Step 4: Simplify right side
    8,098.25x = 34,438,142.61
  5. Step 5: Solve for x
    x = 34,438,142.61/8,098.25
  6. Step 6: Final answer
    x = 4,252.54

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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.