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Finding the Fourth Proportional to 8,198.06, 11,313.34 and 4,472.06

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Solution

The fourth proportional to 8,198.06, 11,313.34 and 4,472.06 is: 6,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.06 : 11,313.34 = 4,472.06 : x
  2. Step 2: Convert to fraction form
    8,198.06/11,313.34 = 4,472.06/x
  3. Step 3: Cross multiply
    8,198.06x = 11,313.34 × 4,472.06
  4. Step 4: Simplify right side
    8,198.06x = 50,593,952.38
  5. Step 5: Solve for x
    x = 50,593,952.38/8,198.06
  6. Step 6: Final answer
    x = 6,171.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.