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Finding the Fourth Proportional to 11,892.96, 17,839.44 and 6,052.32

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Solution

The fourth proportional to 11,892.96, 17,839.44 and 6,052.32 is: 9,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.96 : 17,839.44 = 6,052.32 : x
  2. Step 2: Convert to fraction form
    11,892.96/17,839.44 = 6,052.32/x
  3. Step 3: Cross multiply
    11,892.96x = 17,839.44 × 6,052.32
  4. Step 4: Simplify right side
    11,892.96x = 107,969,999.50
  5. Step 5: Solve for x
    x = 107,969,999.50/11,892.96
  6. Step 6: Final answer
    x = 9,078.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.