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Finding the Fourth Proportional to 8,183.57, 12,275.38 and 3,253.18

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Solution

The fourth proportional to 8,183.57, 12,275.38 and 3,253.18 is: 4,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.57 : 12,275.38 = 3,253.18 : x
  2. Step 2: Convert to fraction form
    8,183.57/12,275.38 = 3,253.18/x
  3. Step 3: Cross multiply
    8,183.57x = 12,275.38 × 3,253.18
  4. Step 4: Simplify right side
    8,183.57x = 39,934,020.71
  5. Step 5: Solve for x
    x = 39,934,020.71/8,183.57
  6. Step 6: Final answer
    x = 4,879.78

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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.