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Finding the Fourth Proportional to 8,229.53, 12,345.59 and 3,550.86

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Solution

The fourth proportional to 8,229.53, 12,345.59 and 3,550.86 is: 5,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.53 : 12,345.59 = 3,550.86 : x
  2. Step 2: Convert to fraction form
    8,229.53/12,345.59 = 3,550.86/x
  3. Step 3: Cross multiply
    8,229.53x = 12,345.59 × 3,550.86
  4. Step 4: Simplify right side
    8,229.53x = 43,837,470.58
  5. Step 5: Solve for x
    x = 43,837,470.58/8,229.53
  6. Step 6: Final answer
    x = 5,326.85

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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.