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Finding the Fourth Proportional to 8,587.24, 11,850.78 and 6,721

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Solution

The fourth proportional to 8,587.24, 11,850.78 and 6,721 is: 9,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.24 : 11,850.78 = 6,721 : x
  2. Step 2: Convert to fraction form
    8,587.24/11,850.78 = 6,721/x
  3. Step 3: Cross multiply
    8,587.24x = 11,850.78 × 6,721
  4. Step 4: Simplify right side
    8,587.24x = 79,649,092.38
  5. Step 5: Solve for x
    x = 79,649,092.38/8,587.24
  6. Step 6: Final answer
    x = 9,275.28

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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.