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Finding the Fourth Proportional to 11,832.26, 17,749.33 and 6,902.39

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Solution

The fourth proportional to 11,832.26, 17,749.33 and 6,902.39 is: 10,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.26 : 17,749.33 = 6,902.39 : x
  2. Step 2: Convert to fraction form
    11,832.26/17,749.33 = 6,902.39/x
  3. Step 3: Cross multiply
    11,832.26x = 17,749.33 × 6,902.39
  4. Step 4: Simplify right side
    11,832.26x = 122,512,825.02
  5. Step 5: Solve for x
    x = 122,512,825.02/11,832.26
  6. Step 6: Final answer
    x = 10,354.14

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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.