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Finding the Fourth Proportional to 11,229.20, 15,493.92 and 6,512.84

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Solution

The fourth proportional to 11,229.20, 15,493.92 and 6,512.84 is: 8,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.20 : 15,493.92 = 6,512.84 : x
  2. Step 2: Convert to fraction form
    11,229.20/15,493.92 = 6,512.84/x
  3. Step 3: Cross multiply
    11,229.20x = 15,493.92 × 6,512.84
  4. Step 4: Simplify right side
    11,229.20x = 100,909,421.93
  5. Step 5: Solve for x
    x = 100,909,421.93/11,229.20
  6. Step 6: Final answer
    x = 8,986.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.