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Finding the Fourth Proportional to 11,175.48, 16,754.76 and 6,791.76

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Solution

The fourth proportional to 11,175.48, 16,754.76 and 6,791.76 is: 10,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.48 : 16,754.76 = 6,791.76 : x
  2. Step 2: Convert to fraction form
    11,175.48/16,754.76 = 6,791.76/x
  3. Step 3: Cross multiply
    11,175.48x = 16,754.76 × 6,791.76
  4. Step 4: Simplify right side
    11,175.48x = 113,794,308.78
  5. Step 5: Solve for x
    x = 113,794,308.78/11,175.48
  6. Step 6: Final answer
    x = 10,182.50

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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.