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Finding the Fourth Proportional to 6,786.68, 10,177.28 and 2,835.34

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Solution

The fourth proportional to 6,786.68, 10,177.28 and 2,835.34 is: 4,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.68 : 10,177.28 = 2,835.34 : x
  2. Step 2: Convert to fraction form
    6,786.68/10,177.28 = 2,835.34/x
  3. Step 3: Cross multiply
    6,786.68x = 10,177.28 × 2,835.34
  4. Step 4: Simplify right side
    6,786.68x = 28,856,077.34
  5. Step 5: Solve for x
    x = 28,856,077.34/6,786.68
  6. Step 6: Final answer
    x = 4,251.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.