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Finding the Fourth Proportional to 7,892.88, 11,839.34 and 2,049.54

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Solution

The fourth proportional to 7,892.88, 11,839.34 and 2,049.54 is: 3,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.88 : 11,839.34 = 2,049.54 : x
  2. Step 2: Convert to fraction form
    7,892.88/11,839.34 = 2,049.54/x
  3. Step 3: Cross multiply
    7,892.88x = 11,839.34 × 2,049.54
  4. Step 4: Simplify right side
    7,892.88x = 24,265,200.90
  5. Step 5: Solve for x
    x = 24,265,200.90/7,892.88
  6. Step 6: Final answer
    x = 3,074.32

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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.