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Finding the Fourth Proportional to 8,224.26, 12,338.42 and 2,381.46

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Solution

The fourth proportional to 8,224.26, 12,338.42 and 2,381.46 is: 3,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.26 : 12,338.42 = 2,381.46 : x
  2. Step 2: Convert to fraction form
    8,224.26/12,338.42 = 2,381.46/x
  3. Step 3: Cross multiply
    8,224.26x = 12,338.42 × 2,381.46
  4. Step 4: Simplify right side
    8,224.26x = 29,383,453.69
  5. Step 5: Solve for x
    x = 29,383,453.69/8,224.26
  6. Step 6: Final answer
    x = 3,572.78

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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.