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Finding the Fourth Proportional to 8,114.88, 12,161.82 and 4,162.86

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Solution

The fourth proportional to 8,114.88, 12,161.82 and 4,162.86 is: 6,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.88 : 12,161.82 = 4,162.86 : x
  2. Step 2: Convert to fraction form
    8,114.88/12,161.82 = 4,162.86/x
  3. Step 3: Cross multiply
    8,114.88x = 12,161.82 × 4,162.86
  4. Step 4: Simplify right side
    8,114.88x = 50,627,954.01
  5. Step 5: Solve for x
    x = 50,627,954.01/8,114.88
  6. Step 6: Final answer
    x = 6,238.90

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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.