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Finding the Fourth Proportional to 11,682, 17,524.85 and 3,892.64

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Solution

The fourth proportional to 11,682, 17,524.85 and 3,892.64 is: 5,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682 : 17,524.85 = 3,892.64 : x
  2. Step 2: Convert to fraction form
    11,682/17,524.85 = 3,892.64/x
  3. Step 3: Cross multiply
    11,682x = 17,524.85 × 3,892.64
  4. Step 4: Simplify right side
    11,682x = 68,217,825.02
  5. Step 5: Solve for x
    x = 68,217,825.02/11,682
  6. Step 6: Final answer
    x = 5,839.57

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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.