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Finding the Fourth Proportional to 11,167.14, 16,753.14 and 3,375.75

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Solution

The fourth proportional to 11,167.14, 16,753.14 and 3,375.75 is: 5,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.14 : 16,753.14 = 3,375.75 : x
  2. Step 2: Convert to fraction form
    11,167.14/16,753.14 = 3,375.75/x
  3. Step 3: Cross multiply
    11,167.14x = 16,753.14 × 3,375.75
  4. Step 4: Simplify right side
    11,167.14x = 56,554,412.36
  5. Step 5: Solve for x
    x = 56,554,412.36/11,167.14
  6. Step 6: Final answer
    x = 5,064.36

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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.