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Finding the Fourth Proportional to 8,198.25, 11,313.59 and 4,472.25

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Solution

The fourth proportional to 8,198.25, 11,313.59 and 4,472.25 is: 6,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.25 : 11,313.59 = 4,472.25 : x
  2. Step 2: Convert to fraction form
    8,198.25/11,313.59 = 4,472.25/x
  3. Step 3: Cross multiply
    8,198.25x = 11,313.59 × 4,472.25
  4. Step 4: Simplify right side
    8,198.25x = 50,597,180.52
  5. Step 5: Solve for x
    x = 50,597,180.52/8,198.25
  6. Step 6: Final answer
    x = 6,171.71

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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.