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Finding the Fourth Proportional to 8,099.49, 12,149.83 and 2,833.92

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Solution

The fourth proportional to 8,099.49, 12,149.83 and 2,833.92 is: 4,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.49 : 12,149.83 = 2,833.92 : x
  2. Step 2: Convert to fraction form
    8,099.49/12,149.83 = 2,833.92/x
  3. Step 3: Cross multiply
    8,099.49x = 12,149.83 × 2,833.92
  4. Step 4: Simplify right side
    8,099.49x = 34,431,649.78
  5. Step 5: Solve for x
    x = 34,431,649.78/8,099.49
  6. Step 6: Final answer
    x = 4,251.09

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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.