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Finding the Fourth Proportional to 8,238.25, 12,362.10 and 8,171.38

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Solution

The fourth proportional to 8,238.25, 12,362.10 and 8,171.38 is: 12,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.25 : 12,362.10 = 8,171.38 : x
  2. Step 2: Convert to fraction form
    8,238.25/12,362.10 = 8,171.38/x
  3. Step 3: Cross multiply
    8,238.25x = 12,362.10 × 8,171.38
  4. Step 4: Simplify right side
    8,238.25x = 101,015,416.70
  5. Step 5: Solve for x
    x = 101,015,416.70/8,238.25
  6. Step 6: Final answer
    x = 12,261.76

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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.