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Finding the Fourth Proportional to 7,892.75, 11,837.07 and 2,344.79

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Solution

The fourth proportional to 7,892.75, 11,837.07 and 2,344.79 is: 3,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.75 : 11,837.07 = 2,344.79 : x
  2. Step 2: Convert to fraction form
    7,892.75/11,837.07 = 2,344.79/x
  3. Step 3: Cross multiply
    7,892.75x = 11,837.07 × 2,344.79
  4. Step 4: Simplify right side
    7,892.75x = 27,755,384.18
  5. Step 5: Solve for x
    x = 27,755,384.18/7,892.75
  6. Step 6: Final answer
    x = 3,516.57

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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.