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Finding the Fourth Proportional to 7,694.97, 10,616.22 and 5,902.77

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Solution

The fourth proportional to 7,694.97, 10,616.22 and 5,902.77 is: 8,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.97 : 10,616.22 = 5,902.77 : x
  2. Step 2: Convert to fraction form
    7,694.97/10,616.22 = 5,902.77/x
  3. Step 3: Cross multiply
    7,694.97x = 10,616.22 × 5,902.77
  4. Step 4: Simplify right side
    7,694.97x = 62,665,104.93
  5. Step 5: Solve for x
    x = 62,665,104.93/7,694.97
  6. Step 6: Final answer
    x = 8,143.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.