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Finding the Fourth Proportional to 6,711.68, 10,067.84 and 4,131.20

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Solution

The fourth proportional to 6,711.68, 10,067.84 and 4,131.20 is: 6,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.68 : 10,067.84 = 4,131.20 : x
  2. Step 2: Convert to fraction form
    6,711.68/10,067.84 = 4,131.20/x
  3. Step 3: Cross multiply
    6,711.68x = 10,067.84 × 4,131.20
  4. Step 4: Simplify right side
    6,711.68x = 41,592,260.61
  5. Step 5: Solve for x
    x = 41,592,260.61/6,711.68
  6. Step 6: Final answer
    x = 6,197.00

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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.