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Finding the Fourth Proportional to 8,229.84, 12,346.31 and 3,299.87

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Solution

The fourth proportional to 8,229.84, 12,346.31 and 3,299.87 is: 4,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.84 : 12,346.31 = 3,299.87 : x
  2. Step 2: Convert to fraction form
    8,229.84/12,346.31 = 3,299.87/x
  3. Step 3: Cross multiply
    8,229.84x = 12,346.31 × 3,299.87
  4. Step 4: Simplify right side
    8,229.84x = 40,741,238.53
  5. Step 5: Solve for x
    x = 40,741,238.53/8,229.84
  6. Step 6: Final answer
    x = 4,950.43

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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.