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Finding the Fourth Proportional to 8,107.38, 12,161.07 and 1,951.38

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Solution

The fourth proportional to 8,107.38, 12,161.07 and 1,951.38 is: 2,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.38 : 12,161.07 = 1,951.38 : x
  2. Step 2: Convert to fraction form
    8,107.38/12,161.07 = 1,951.38/x
  3. Step 3: Cross multiply
    8,107.38x = 12,161.07 × 1,951.38
  4. Step 4: Simplify right side
    8,107.38x = 23,730,868.78
  5. Step 5: Solve for x
    x = 23,730,868.78/8,107.38
  6. Step 6: Final answer
    x = 2,927.07

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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.