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Finding the Fourth Proportional to 8,197.42, 12,287.82 and 3,520.48

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Solution

The fourth proportional to 8,197.42, 12,287.82 and 3,520.48 is: 5,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.42 : 12,287.82 = 3,520.48 : x
  2. Step 2: Convert to fraction form
    8,197.42/12,287.82 = 3,520.48/x
  3. Step 3: Cross multiply
    8,197.42x = 12,287.82 × 3,520.48
  4. Step 4: Simplify right side
    8,197.42x = 43,259,024.55
  5. Step 5: Solve for x
    x = 43,259,024.55/8,197.42
  6. Step 6: Final answer
    x = 5,277.15

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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.