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Finding the Fourth Proportional to 8,462.55, 12,691.75 and 3,532.23

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Solution

The fourth proportional to 8,462.55, 12,691.75 and 3,532.23 is: 5,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.55 : 12,691.75 = 3,532.23 : x
  2. Step 2: Convert to fraction form
    8,462.55/12,691.75 = 3,532.23/x
  3. Step 3: Cross multiply
    8,462.55x = 12,691.75 × 3,532.23
  4. Step 4: Simplify right side
    8,462.55x = 44,830,180.10
  5. Step 5: Solve for x
    x = 44,830,180.10/8,462.55
  6. Step 6: Final answer
    x = 5,297.48

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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.