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Finding the Fourth Proportional to 8,157.11, 12,236.27 and 3,161.94

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Solution

The fourth proportional to 8,157.11, 12,236.27 and 3,161.94 is: 4,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.11 : 12,236.27 = 3,161.94 : x
  2. Step 2: Convert to fraction form
    8,157.11/12,236.27 = 3,161.94/x
  3. Step 3: Cross multiply
    8,157.11x = 12,236.27 × 3,161.94
  4. Step 4: Simplify right side
    8,157.11x = 38,690,289.87
  5. Step 5: Solve for x
    x = 38,690,289.87/8,157.11
  6. Step 6: Final answer
    x = 4,743.14

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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.