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Finding the Fourth Proportional to 8,400.16, 12,591.52 and 4,180.61

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Solution

The fourth proportional to 8,400.16, 12,591.52 and 4,180.61 is: 6,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.16 : 12,591.52 = 4,180.61 : x
  2. Step 2: Convert to fraction form
    8,400.16/12,591.52 = 4,180.61/x
  3. Step 3: Cross multiply
    8,400.16x = 12,591.52 × 4,180.61
  4. Step 4: Simplify right side
    8,400.16x = 52,640,294.74
  5. Step 5: Solve for x
    x = 52,640,294.74/8,400.16
  6. Step 6: Final answer
    x = 6,266.58

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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.