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Finding the Fourth Proportional to 11,486.50, 17,229.82 and 4,561

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Solution

The fourth proportional to 11,486.50, 17,229.82 and 4,561 is: 6,841.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.50 : 17,229.82 = 4,561 : x
  2. Step 2: Convert to fraction form
    11,486.50/17,229.82 = 4,561/x
  3. Step 3: Cross multiply
    11,486.50x = 17,229.82 × 4,561
  4. Step 4: Simplify right side
    11,486.50x = 78,585,209.02
  5. Step 5: Solve for x
    x = 78,585,209.02/11,486.50
  6. Step 6: Final answer
    x = 6,841.53

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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.