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Finding the Fourth Proportional to 11,682.87, 17,524.41 and 3,891.66

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Solution

The fourth proportional to 11,682.87, 17,524.41 and 3,891.66 is: 5,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.87 : 17,524.41 = 3,891.66 : x
  2. Step 2: Convert to fraction form
    11,682.87/17,524.41 = 3,891.66/x
  3. Step 3: Cross multiply
    11,682.87x = 17,524.41 × 3,891.66
  4. Step 4: Simplify right side
    11,682.87x = 68,199,045.42
  5. Step 5: Solve for x
    x = 68,199,045.42/11,682.87
  6. Step 6: Final answer
    x = 5,837.52

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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.