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Finding the Fourth Proportional to 11,656.72, 17,481 and 3,863.44

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Solution

The fourth proportional to 11,656.72, 17,481 and 3,863.44 is: 5,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.72 : 17,481 = 3,863.44 : x
  2. Step 2: Convert to fraction form
    11,656.72/17,481 = 3,863.44/x
  3. Step 3: Cross multiply
    11,656.72x = 17,481 × 3,863.44
  4. Step 4: Simplify right side
    11,656.72x = 67,536,794.64
  5. Step 5: Solve for x
    x = 67,536,794.64/11,656.72
  6. Step 6: Final answer
    x = 5,793.81

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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.