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Finding the Fourth Proportional to 11,832.13, 17,749.14 and 6,902.27

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Solution

The fourth proportional to 11,832.13, 17,749.14 and 6,902.27 is: 10,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.13 : 17,749.14 = 6,902.27 : x
  2. Step 2: Convert to fraction form
    11,832.13/17,749.14 = 6,902.27/x
  3. Step 3: Cross multiply
    11,832.13x = 17,749.14 × 6,902.27
  4. Step 4: Simplify right side
    11,832.13x = 122,509,356.55
  5. Step 5: Solve for x
    x = 122,509,356.55/11,832.13
  6. Step 6: Final answer
    x = 10,353.96

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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.