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Finding the Fourth Proportional to 8,220.42, 12,327.39 and 3,540.78

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Solution

The fourth proportional to 8,220.42, 12,327.39 and 3,540.78 is: 5,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.42 : 12,327.39 = 3,540.78 : x
  2. Step 2: Convert to fraction form
    8,220.42/12,327.39 = 3,540.78/x
  3. Step 3: Cross multiply
    8,220.42x = 12,327.39 × 3,540.78
  4. Step 4: Simplify right side
    8,220.42x = 43,648,575.96
  5. Step 5: Solve for x
    x = 43,648,575.96/8,220.42
  6. Step 6: Final answer
    x = 5,309.77

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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.