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Finding the Fourth Proportional to 8,213.16, 12,324.60 and 3,022.68

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Solution

The fourth proportional to 8,213.16, 12,324.60 and 3,022.68 is: 4,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.16 : 12,324.60 = 3,022.68 : x
  2. Step 2: Convert to fraction form
    8,213.16/12,324.60 = 3,022.68/x
  3. Step 3: Cross multiply
    8,213.16x = 12,324.60 × 3,022.68
  4. Step 4: Simplify right side
    8,213.16x = 37,253,321.93
  5. Step 5: Solve for x
    x = 37,253,321.93/8,213.16
  6. Step 6: Final answer
    x = 4,535.81

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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.