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Finding the Fourth Proportional to 11,645.50, 17,468.87 and 3,324.87

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Solution

The fourth proportional to 11,645.50, 17,468.87 and 3,324.87 is: 4,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.50 : 17,468.87 = 3,324.87 : x
  2. Step 2: Convert to fraction form
    11,645.50/17,468.87 = 3,324.87/x
  3. Step 3: Cross multiply
    11,645.50x = 17,468.87 × 3,324.87
  4. Step 4: Simplify right side
    11,645.50x = 58,081,721.80
  5. Step 5: Solve for x
    x = 58,081,721.80/11,645.50
  6. Step 6: Final answer
    x = 4,987.48

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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.