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Finding the Fourth Proportional to 11,449.89, 15,800.81 and 6,414.39

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Solution

The fourth proportional to 11,449.89, 15,800.81 and 6,414.39 is: 8,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.89 : 15,800.81 = 6,414.39 : x
  2. Step 2: Convert to fraction form
    11,449.89/15,800.81 = 6,414.39/x
  3. Step 3: Cross multiply
    11,449.89x = 15,800.81 × 6,414.39
  4. Step 4: Simplify right side
    11,449.89x = 101,352,525.58
  5. Step 5: Solve for x
    x = 101,352,525.58/11,449.89
  6. Step 6: Final answer
    x = 8,851.83

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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.