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Finding the Fourth Proportional to 11,456.16, 17,181.50 and 8,372.49

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Solution

The fourth proportional to 11,456.16, 17,181.50 and 8,372.49 is: 12,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.16 : 17,181.50 = 8,372.49 : x
  2. Step 2: Convert to fraction form
    11,456.16/17,181.50 = 8,372.49/x
  3. Step 3: Cross multiply
    11,456.16x = 17,181.50 × 8,372.49
  4. Step 4: Simplify right side
    11,456.16x = 143,851,936.94
  5. Step 5: Solve for x
    x = 143,851,936.94/11,456.16
  6. Step 6: Final answer
    x = 12,556.73

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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.