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Finding the Fourth Proportional to 8,161.94, 12,239.12 and 2,614.05

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Solution

The fourth proportional to 8,161.94, 12,239.12 and 2,614.05 is: 3,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.94 : 12,239.12 = 2,614.05 : x
  2. Step 2: Convert to fraction form
    8,161.94/12,239.12 = 2,614.05/x
  3. Step 3: Cross multiply
    8,161.94x = 12,239.12 × 2,614.05
  4. Step 4: Simplify right side
    8,161.94x = 31,993,658.57
  5. Step 5: Solve for x
    x = 31,993,658.57/8,161.94
  6. Step 6: Final answer
    x = 3,919.86

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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.