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Finding the Fourth Proportional to 8,107.67, 12,160.86 and 2,561.18

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Solution

The fourth proportional to 8,107.67, 12,160.86 and 2,561.18 is: 3,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.67 : 12,160.86 = 2,561.18 : x
  2. Step 2: Convert to fraction form
    8,107.67/12,160.86 = 2,561.18/x
  3. Step 3: Cross multiply
    8,107.67x = 12,160.86 × 2,561.18
  4. Step 4: Simplify right side
    8,107.67x = 31,146,090.61
  5. Step 5: Solve for x
    x = 31,146,090.61/8,107.67
  6. Step 6: Final answer
    x = 3,841.56

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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.