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Finding the Fourth Proportional to 7,986.28, 11,978.52 and 2,142.44

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Solution

The fourth proportional to 7,986.28, 11,978.52 and 2,142.44 is: 3,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.28 : 11,978.52 = 2,142.44 : x
  2. Step 2: Convert to fraction form
    7,986.28/11,978.52 = 2,142.44/x
  3. Step 3: Cross multiply
    7,986.28x = 11,978.52 × 2,142.44
  4. Step 4: Simplify right side
    7,986.28x = 25,663,260.39
  5. Step 5: Solve for x
    x = 25,663,260.39/7,986.28
  6. Step 6: Final answer
    x = 3,213.42

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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.