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Finding the Fourth Proportional to 10,791.97, 16,190.27 and 6,114.22

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Solution

The fourth proportional to 10,791.97, 16,190.27 and 6,114.22 is: 9,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.97 : 16,190.27 = 6,114.22 : x
  2. Step 2: Convert to fraction form
    10,791.97/16,190.27 = 6,114.22/x
  3. Step 3: Cross multiply
    10,791.97x = 16,190.27 × 6,114.22
  4. Step 4: Simplify right side
    10,791.97x = 98,990,824.52
  5. Step 5: Solve for x
    x = 98,990,824.52/10,791.97
  6. Step 6: Final answer
    x = 9,172.64

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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.