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Finding the Fourth Proportional to 6,791.94, 10,179.75 and 5,897.94

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Solution

The fourth proportional to 6,791.94, 10,179.75 and 5,897.94 is: 8,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.94 : 10,179.75 = 5,897.94 : x
  2. Step 2: Convert to fraction form
    6,791.94/10,179.75 = 5,897.94/x
  3. Step 3: Cross multiply
    6,791.94x = 10,179.75 × 5,897.94
  4. Step 4: Simplify right side
    6,791.94x = 60,039,554.72
  5. Step 5: Solve for x
    x = 60,039,554.72/6,791.94
  6. Step 6: Final answer
    x = 8,839.82

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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.