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Finding the Fourth Proportional to 11,682.82, 17,523.69 and 2,917.27

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Solution

The fourth proportional to 11,682.82, 17,523.69 and 2,917.27 is: 4,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.82 : 17,523.69 = 2,917.27 : x
  2. Step 2: Convert to fraction form
    11,682.82/17,523.69 = 2,917.27/x
  3. Step 3: Cross multiply
    11,682.82x = 17,523.69 × 2,917.27
  4. Step 4: Simplify right side
    11,682.82x = 51,121,335.13
  5. Step 5: Solve for x
    x = 51,121,335.13/11,682.82
  6. Step 6: Final answer
    x = 4,375.77

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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.