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Finding the Fourth Proportional to 8,197.43, 12,296.21 and 5,086.49

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Solution

The fourth proportional to 8,197.43, 12,296.21 and 5,086.49 is: 7,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.43 : 12,296.21 = 5,086.49 : x
  2. Step 2: Convert to fraction form
    8,197.43/12,296.21 = 5,086.49/x
  3. Step 3: Cross multiply
    8,197.43x = 12,296.21 × 5,086.49
  4. Step 4: Simplify right side
    8,197.43x = 62,544,462.29
  5. Step 5: Solve for x
    x = 62,544,462.29/8,197.43
  6. Step 6: Final answer
    x = 7,629.77

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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.