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Finding the Fourth Proportional to 6,859.38, 10,274.70 and 5,686.59

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Solution

The fourth proportional to 6,859.38, 10,274.70 and 5,686.59 is: 8,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.38 : 10,274.70 = 5,686.59 : x
  2. Step 2: Convert to fraction form
    6,859.38/10,274.70 = 5,686.59/x
  3. Step 3: Cross multiply
    6,859.38x = 10,274.70 × 5,686.59
  4. Step 4: Simplify right side
    6,859.38x = 58,428,006.27
  5. Step 5: Solve for x
    x = 58,428,006.27/6,859.38
  6. Step 6: Final answer
    x = 8,517.97

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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.