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Finding the Fourth Proportional to 8,107.92, 12,161.23 and 2,561.43

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Solution

The fourth proportional to 8,107.92, 12,161.23 and 2,561.43 is: 3,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.92 : 12,161.23 = 2,561.43 : x
  2. Step 2: Convert to fraction form
    8,107.92/12,161.23 = 2,561.43/x
  3. Step 3: Cross multiply
    8,107.92x = 12,161.23 × 2,561.43
  4. Step 4: Simplify right side
    8,107.92x = 31,150,139.36
  5. Step 5: Solve for x
    x = 31,150,139.36/8,107.92
  6. Step 6: Final answer
    x = 3,841.94

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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.