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Finding the Fourth Proportional to 11,796.52, 16,278.71 and 6,757.23

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Solution

The fourth proportional to 11,796.52, 16,278.71 and 6,757.23 is: 9,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.52 : 16,278.71 = 6,757.23 : x
  2. Step 2: Convert to fraction form
    11,796.52/16,278.71 = 6,757.23/x
  3. Step 3: Cross multiply
    11,796.52x = 16,278.71 × 6,757.23
  4. Step 4: Simplify right side
    11,796.52x = 109,999,036.10
  5. Step 5: Solve for x
    x = 109,999,036.10/11,796.52
  6. Step 6: Final answer
    x = 9,324.71

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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.