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Finding the Fourth Proportional to 8,224.82, 12,338.01 and 2,301.71

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Solution

The fourth proportional to 8,224.82, 12,338.01 and 2,301.71 is: 3,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.82 : 12,338.01 = 2,301.71 : x
  2. Step 2: Convert to fraction form
    8,224.82/12,338.01 = 2,301.71/x
  3. Step 3: Cross multiply
    8,224.82x = 12,338.01 × 2,301.71
  4. Step 4: Simplify right side
    8,224.82x = 28,398,459.31
  5. Step 5: Solve for x
    x = 28,398,459.31/8,224.82
  6. Step 6: Final answer
    x = 3,452.78

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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.