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Finding the Fourth Proportional to 8,222.26, 12,335.41 and 2,379.46

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Solution

The fourth proportional to 8,222.26, 12,335.41 and 2,379.46 is: 3,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.26 : 12,335.41 = 2,379.46 : x
  2. Step 2: Convert to fraction form
    8,222.26/12,335.41 = 2,379.46/x
  3. Step 3: Cross multiply
    8,222.26x = 12,335.41 × 2,379.46
  4. Step 4: Simplify right side
    8,222.26x = 29,351,616.64
  5. Step 5: Solve for x
    x = 29,351,616.64/8,222.26
  6. Step 6: Final answer
    x = 3,569.78

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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.