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Finding the Fourth Proportional to 10,910.67, 15,057.37 and 8,217.14

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Solution

The fourth proportional to 10,910.67, 15,057.37 and 8,217.14 is: 11,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.67 : 15,057.37 = 8,217.14 : x
  2. Step 2: Convert to fraction form
    10,910.67/15,057.37 = 8,217.14/x
  3. Step 3: Cross multiply
    10,910.67x = 15,057.37 × 8,217.14
  4. Step 4: Simplify right side
    10,910.67x = 123,728,400.95
  5. Step 5: Solve for x
    x = 123,728,400.95/10,910.67
  6. Step 6: Final answer
    x = 11,340.13

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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.