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Finding the Fourth Proportional to 11,682.50, 17,523.76 and 3,891.92

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Solution

The fourth proportional to 11,682.50, 17,523.76 and 3,891.92 is: 5,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.50 : 17,523.76 = 3,891.92 : x
  2. Step 2: Convert to fraction form
    11,682.50/17,523.76 = 3,891.92/x
  3. Step 3: Cross multiply
    11,682.50x = 17,523.76 × 3,891.92
  4. Step 4: Simplify right side
    11,682.50x = 68,201,072.02
  5. Step 5: Solve for x
    x = 68,201,072.02/11,682.50
  6. Step 6: Final answer
    x = 5,837.88

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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.