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Finding the Fourth Proportional to 11,115.68, 16,675.78 and 4,542.38

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Solution

The fourth proportional to 11,115.68, 16,675.78 and 4,542.38 is: 6,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.68 : 16,675.78 = 4,542.38 : x
  2. Step 2: Convert to fraction form
    11,115.68/16,675.78 = 4,542.38/x
  3. Step 3: Cross multiply
    11,115.68x = 16,675.78 × 4,542.38
  4. Step 4: Simplify right side
    11,115.68x = 75,747,729.56
  5. Step 5: Solve for x
    x = 75,747,729.56/11,115.68
  6. Step 6: Final answer
    x = 6,814.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.