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Finding the Fourth Proportional to 6,684.38, 10,021.16 and 2,791.70

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Solution

The fourth proportional to 6,684.38, 10,021.16 and 2,791.70 is: 4,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.38 : 10,021.16 = 2,791.70 : x
  2. Step 2: Convert to fraction form
    6,684.38/10,021.16 = 2,791.70/x
  3. Step 3: Cross multiply
    6,684.38x = 10,021.16 × 2,791.70
  4. Step 4: Simplify right side
    6,684.38x = 27,976,072.37
  5. Step 5: Solve for x
    x = 27,976,072.37/6,684.38
  6. Step 6: Final answer
    x = 4,185.29

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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.