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Finding the Fourth Proportional to 8,452.74, 12,682.12 and 3,772.33

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Solution

The fourth proportional to 8,452.74, 12,682.12 and 3,772.33 is: 5,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.74 : 12,682.12 = 3,772.33 : x
  2. Step 2: Convert to fraction form
    8,452.74/12,682.12 = 3,772.33/x
  3. Step 3: Cross multiply
    8,452.74x = 12,682.12 × 3,772.33
  4. Step 4: Simplify right side
    8,452.74x = 47,841,141.74
  5. Step 5: Solve for x
    x = 47,841,141.74/8,452.74
  6. Step 6: Final answer
    x = 5,659.84

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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.