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Finding the Fourth Proportional to 8,407.68, 12,604.98 and 5,439.85

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Solution

The fourth proportional to 8,407.68, 12,604.98 and 5,439.85 is: 8,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.68 : 12,604.98 = 5,439.85 : x
  2. Step 2: Convert to fraction form
    8,407.68/12,604.98 = 5,439.85/x
  3. Step 3: Cross multiply
    8,407.68x = 12,604.98 × 5,439.85
  4. Step 4: Simplify right side
    8,407.68x = 68,569,173.25
  5. Step 5: Solve for x
    x = 68,569,173.25/8,407.68
  6. Step 6: Final answer
    x = 8,155.54

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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.