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Finding the Fourth Proportional to 11,791.78, 16,265.53 and 7,255.23

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Solution

The fourth proportional to 11,791.78, 16,265.53 and 7,255.23 is: 10,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.78 : 16,265.53 = 7,255.23 : x
  2. Step 2: Convert to fraction form
    11,791.78/16,265.53 = 7,255.23/x
  3. Step 3: Cross multiply
    11,791.78x = 16,265.53 × 7,255.23
  4. Step 4: Simplify right side
    11,791.78x = 118,010,161.22
  5. Step 5: Solve for x
    x = 118,010,161.22/11,791.78
  6. Step 6: Final answer
    x = 10,007.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.