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Finding the Fourth Proportional to 6,711.70, 10,067.13 and 2,031.70

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Solution

The fourth proportional to 6,711.70, 10,067.13 and 2,031.70 is: 3,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.70 : 10,067.13 = 2,031.70 : x
  2. Step 2: Convert to fraction form
    6,711.70/10,067.13 = 2,031.70/x
  3. Step 3: Cross multiply
    6,711.70x = 10,067.13 × 2,031.70
  4. Step 4: Simplify right side
    6,711.70x = 20,453,388.02
  5. Step 5: Solve for x
    x = 20,453,388.02/6,711.70
  6. Step 6: Final answer
    x = 3,047.42

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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.