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Finding the Fourth Proportional to 11,676.52, 17,512.90 and 3,354.64

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Solution

The fourth proportional to 11,676.52, 17,512.90 and 3,354.64 is: 5,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.52 : 17,512.90 = 3,354.64 : x
  2. Step 2: Convert to fraction form
    11,676.52/17,512.90 = 3,354.64/x
  3. Step 3: Cross multiply
    11,676.52x = 17,512.90 × 3,354.64
  4. Step 4: Simplify right side
    11,676.52x = 58,749,481.38
  5. Step 5: Solve for x
    x = 58,749,481.38/11,676.52
  6. Step 6: Final answer
    x = 5,031.42

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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.