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Finding the Fourth Proportional to 8,107.85, 12,161.78 and 2,561.76

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Solution

The fourth proportional to 8,107.85, 12,161.78 and 2,561.76 is: 3,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.85 : 12,161.78 = 2,561.76 : x
  2. Step 2: Convert to fraction form
    8,107.85/12,161.78 = 2,561.76/x
  3. Step 3: Cross multiply
    8,107.85x = 12,161.78 × 2,561.76
  4. Step 4: Simplify right side
    8,107.85x = 31,155,561.53
  5. Step 5: Solve for x
    x = 31,155,561.53/8,107.85
  6. Step 6: Final answer
    x = 3,842.64

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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.