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Finding the Fourth Proportional to 7,892.44, 11,837.50 and 2,344.75

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Solution

The fourth proportional to 7,892.44, 11,837.50 and 2,344.75 is: 3,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.44 : 11,837.50 = 2,344.75 : x
  2. Step 2: Convert to fraction form
    7,892.44/11,837.50 = 2,344.75/x
  3. Step 3: Cross multiply
    7,892.44x = 11,837.50 × 2,344.75
  4. Step 4: Simplify right side
    7,892.44x = 27,755,978.13
  5. Step 5: Solve for x
    x = 27,755,978.13/7,892.44
  6. Step 6: Final answer
    x = 3,516.78

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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.