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Finding the Fourth Proportional to 7,249.49, 10,865.86 and 3,294.82

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Solution

The fourth proportional to 7,249.49, 10,865.86 and 3,294.82 is: 4,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.49 : 10,865.86 = 3,294.82 : x
  2. Step 2: Convert to fraction form
    7,249.49/10,865.86 = 3,294.82/x
  3. Step 3: Cross multiply
    7,249.49x = 10,865.86 × 3,294.82
  4. Step 4: Simplify right side
    7,249.49x = 35,801,017.44
  5. Step 5: Solve for x
    x = 35,801,017.44/7,249.49
  6. Step 6: Final answer
    x = 4,938.42

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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.