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Finding the Fourth Proportional to 6,716.84, 10,067.96 and 2,816.68

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Solution

The fourth proportional to 6,716.84, 10,067.96 and 2,816.68 is: 4,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.84 : 10,067.96 = 2,816.68 : x
  2. Step 2: Convert to fraction form
    6,716.84/10,067.96 = 2,816.68/x
  3. Step 3: Cross multiply
    6,716.84x = 10,067.96 × 2,816.68
  4. Step 4: Simplify right side
    6,716.84x = 28,358,221.57
  5. Step 5: Solve for x
    x = 28,358,221.57/6,716.84
  6. Step 6: Final answer
    x = 4,221.96

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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.