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Finding the Fourth Proportional to 11,867.52, 17,791.52 and 6,924.96

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Solution

The fourth proportional to 11,867.52, 17,791.52 and 6,924.96 is: 10,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.52 : 17,791.52 = 6,924.96 : x
  2. Step 2: Convert to fraction form
    11,867.52/17,791.52 = 6,924.96/x
  3. Step 3: Cross multiply
    11,867.52x = 17,791.52 × 6,924.96
  4. Step 4: Simplify right side
    11,867.52x = 123,205,564.34
  5. Step 5: Solve for x
    x = 123,205,564.34/11,867.52
  6. Step 6: Final answer
    x = 10,381.74

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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.