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Finding the Fourth Proportional to 6,716.80, 10,076.80 and 2,819.20

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Solution

The fourth proportional to 6,716.80, 10,076.80 and 2,819.20 is: 4,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.80 : 10,076.80 = 2,819.20 : x
  2. Step 2: Convert to fraction form
    6,716.80/10,076.80 = 2,819.20/x
  3. Step 3: Cross multiply
    6,716.80x = 10,076.80 × 2,819.20
  4. Step 4: Simplify right side
    6,716.80x = 28,408,514.56
  5. Step 5: Solve for x
    x = 28,408,514.56/6,716.80
  6. Step 6: Final answer
    x = 4,229.47

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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.