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Finding the Fourth Proportional to 6,778.67, 10,175.31 and 5,694.89

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Solution

The fourth proportional to 6,778.67, 10,175.31 and 5,694.89 is: 8,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.67 : 10,175.31 = 5,694.89 : x
  2. Step 2: Convert to fraction form
    6,778.67/10,175.31 = 5,694.89/x
  3. Step 3: Cross multiply
    6,778.67x = 10,175.31 × 5,694.89
  4. Step 4: Simplify right side
    6,778.67x = 57,947,220.29
  5. Step 5: Solve for x
    x = 57,947,220.29/6,778.67
  6. Step 6: Final answer
    x = 8,548.47

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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.