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Finding the Fourth Proportional to 11,943.72, 16,481.11 and 6,907.55

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Solution

The fourth proportional to 11,943.72, 16,481.11 and 6,907.55 is: 9,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.72 : 16,481.11 = 6,907.55 : x
  2. Step 2: Convert to fraction form
    11,943.72/16,481.11 = 6,907.55/x
  3. Step 3: Cross multiply
    11,943.72x = 16,481.11 × 6,907.55
  4. Step 4: Simplify right side
    11,943.72x = 113,844,091.38
  5. Step 5: Solve for x
    x = 113,844,091.38/11,943.72
  6. Step 6: Final answer
    x = 9,531.71

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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.