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Finding the Fourth Proportional to 8,525.80, 11,694.17 and 8,180.20

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Solution

The fourth proportional to 8,525.80, 11,694.17 and 8,180.20 is: 11,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.80 : 11,694.17 = 8,180.20 : x
  2. Step 2: Convert to fraction form
    8,525.80/11,694.17 = 8,180.20/x
  3. Step 3: Cross multiply
    8,525.80x = 11,694.17 × 8,180.20
  4. Step 4: Simplify right side
    8,525.80x = 95,660,649.43
  5. Step 5: Solve for x
    x = 95,660,649.43/8,525.80
  6. Step 6: Final answer
    x = 11,220.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.