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Finding the Fourth Proportional to 7,716.97, 11,550.20 and 4,198.19

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Solution

The fourth proportional to 7,716.97, 11,550.20 and 4,198.19 is: 6,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.97 : 11,550.20 = 4,198.19 : x
  2. Step 2: Convert to fraction form
    7,716.97/11,550.20 = 4,198.19/x
  3. Step 3: Cross multiply
    7,716.97x = 11,550.20 × 4,198.19
  4. Step 4: Simplify right side
    7,716.97x = 48,489,934.14
  5. Step 5: Solve for x
    x = 48,489,934.14/7,716.97
  6. Step 6: Final answer
    x = 6,283.55

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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.