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Finding the Fourth Proportional to 7,892.44, 11,837.04 and 2,961.88

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Solution

The fourth proportional to 7,892.44, 11,837.04 and 2,961.88 is: 4,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.44 : 11,837.04 = 2,961.88 : x
  2. Step 2: Convert to fraction form
    7,892.44/11,837.04 = 2,961.88/x
  3. Step 3: Cross multiply
    7,892.44x = 11,837.04 × 2,961.88
  4. Step 4: Simplify right side
    7,892.44x = 35,059,892.04
  5. Step 5: Solve for x
    x = 35,059,892.04/7,892.44
  6. Step 6: Final answer
    x = 4,442.21

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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.