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Finding the Fourth Proportional to 8,099.38, 12,149.70 and 2,256.46

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Solution

The fourth proportional to 8,099.38, 12,149.70 and 2,256.46 is: 3,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.38 : 12,149.70 = 2,256.46 : x
  2. Step 2: Convert to fraction form
    8,099.38/12,149.70 = 2,256.46/x
  3. Step 3: Cross multiply
    8,099.38x = 12,149.70 × 2,256.46
  4. Step 4: Simplify right side
    8,099.38x = 27,415,312.06
  5. Step 5: Solve for x
    x = 27,415,312.06/8,099.38
  6. Step 6: Final answer
    x = 3,384.87

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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.