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Finding the Fourth Proportional to 6,711.96, 10,067.79 and 2,816.40

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Solution

The fourth proportional to 6,711.96, 10,067.79 and 2,816.40 is: 4,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.96 : 10,067.79 = 2,816.40 : x
  2. Step 2: Convert to fraction form
    6,711.96/10,067.79 = 2,816.40/x
  3. Step 3: Cross multiply
    6,711.96x = 10,067.79 × 2,816.40
  4. Step 4: Simplify right side
    6,711.96x = 28,354,923.76
  5. Step 5: Solve for x
    x = 28,354,923.76/6,711.96
  6. Step 6: Final answer
    x = 4,224.54

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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.