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Finding the Fourth Proportional to 8,301.72, 12,452.30 and 2,458.44

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Solution

The fourth proportional to 8,301.72, 12,452.30 and 2,458.44 is: 3,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.72 : 12,452.30 = 2,458.44 : x
  2. Step 2: Convert to fraction form
    8,301.72/12,452.30 = 2,458.44/x
  3. Step 3: Cross multiply
    8,301.72x = 12,452.30 × 2,458.44
  4. Step 4: Simplify right side
    8,301.72x = 30,613,232.41
  5. Step 5: Solve for x
    x = 30,613,232.41/8,301.72
  6. Step 6: Final answer
    x = 3,687.58

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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.