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Finding the Fourth Proportional to 11,548.42, 15,940.91 and 6,832.69

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Solution

The fourth proportional to 11,548.42, 15,940.91 and 6,832.69 is: 9,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.42 : 15,940.91 = 6,832.69 : x
  2. Step 2: Convert to fraction form
    11,548.42/15,940.91 = 6,832.69/x
  3. Step 3: Cross multiply
    11,548.42x = 15,940.91 × 6,832.69
  4. Step 4: Simplify right side
    11,548.42x = 108,919,273.58
  5. Step 5: Solve for x
    x = 108,919,273.58/11,548.42
  6. Step 6: Final answer
    x = 9,431.53

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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.