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Finding the Fourth Proportional to 8,638.62, 11,910.38 and 5,649.72

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Solution

The fourth proportional to 8,638.62, 11,910.38 and 5,649.72 is: 7,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.62 : 11,910.38 = 5,649.72 : x
  2. Step 2: Convert to fraction form
    8,638.62/11,910.38 = 5,649.72/x
  3. Step 3: Cross multiply
    8,638.62x = 11,910.38 × 5,649.72
  4. Step 4: Simplify right side
    8,638.62x = 67,290,239.18
  5. Step 5: Solve for x
    x = 67,290,239.18/8,638.62
  6. Step 6: Final answer
    x = 7,789.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.