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Finding the Fourth Proportional to 8,311.44, 12,469.51 and 3,384.61

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Solution

The fourth proportional to 8,311.44, 12,469.51 and 3,384.61 is: 5,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.44 : 12,469.51 = 3,384.61 : x
  2. Step 2: Convert to fraction form
    8,311.44/12,469.51 = 3,384.61/x
  3. Step 3: Cross multiply
    8,311.44x = 12,469.51 × 3,384.61
  4. Step 4: Simplify right side
    8,311.44x = 42,204,428.24
  5. Step 5: Solve for x
    x = 42,204,428.24/8,311.44
  6. Step 6: Final answer
    x = 5,077.87

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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.