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Finding the Fourth Proportional to 6,760.88, 10,142.69 and 2,378.68

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Solution

The fourth proportional to 6,760.88, 10,142.69 and 2,378.68 is: 3,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.88 : 10,142.69 = 2,378.68 : x
  2. Step 2: Convert to fraction form
    6,760.88/10,142.69 = 2,378.68/x
  3. Step 3: Cross multiply
    6,760.88x = 10,142.69 × 2,378.68
  4. Step 4: Simplify right side
    6,760.88x = 24,126,213.85
  5. Step 5: Solve for x
    x = 24,126,213.85/6,760.88
  6. Step 6: Final answer
    x = 3,568.50

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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.