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Finding the Fourth Proportional to 8,224.40, 12,332.82 and 2,379.62

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Solution

The fourth proportional to 8,224.40, 12,332.82 and 2,379.62 is: 3,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.40 : 12,332.82 = 2,379.62 : x
  2. Step 2: Convert to fraction form
    8,224.40/12,332.82 = 2,379.62/x
  3. Step 3: Cross multiply
    8,224.40x = 12,332.82 × 2,379.62
  4. Step 4: Simplify right side
    8,224.40x = 29,347,425.13
  5. Step 5: Solve for x
    x = 29,347,425.13/8,224.40
  6. Step 6: Final answer
    x = 3,568.34

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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.