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Finding the Fourth Proportional to 11,684.91, 17,524.53 and 3,892.71

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Solution

The fourth proportional to 11,684.91, 17,524.53 and 3,892.71 is: 5,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.91 : 17,524.53 = 3,892.71 : x
  2. Step 2: Convert to fraction form
    11,684.91/17,524.53 = 3,892.71/x
  3. Step 3: Cross multiply
    11,684.91x = 17,524.53 × 3,892.71
  4. Step 4: Simplify right side
    11,684.91x = 68,217,913.18
  5. Step 5: Solve for x
    x = 68,217,913.18/11,684.91
  6. Step 6: Final answer
    x = 5,838.12

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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.