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Finding the Fourth Proportional to 11,105.38, 15,324.98 and 6,571.00

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Solution

The fourth proportional to 11,105.38, 15,324.98 and 6,571.00 is: 9,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.38 : 15,324.98 = 6,571.00 : x
  2. Step 2: Convert to fraction form
    11,105.38/15,324.98 = 6,571.00/x
  3. Step 3: Cross multiply
    11,105.38x = 15,324.98 × 6,571.00
  4. Step 4: Simplify right side
    11,105.38x = 100,700,372.41
  5. Step 5: Solve for x
    x = 100,700,372.41/11,105.38
  6. Step 6: Final answer
    x = 9,067.71

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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.