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Finding the Fourth Proportional to 7,198.36, 10,793.86 and 3,299.42

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Solution

The fourth proportional to 7,198.36, 10,793.86 and 3,299.42 is: 4,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.36 : 10,793.86 = 3,299.42 : x
  2. Step 2: Convert to fraction form
    7,198.36/10,793.86 = 3,299.42/x
  3. Step 3: Cross multiply
    7,198.36x = 10,793.86 × 3,299.42
  4. Step 4: Simplify right side
    7,198.36x = 35,613,496.30
  5. Step 5: Solve for x
    x = 35,613,496.30/7,198.36
  6. Step 6: Final answer
    x = 4,947.45

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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.