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Finding the Fourth Proportional to 8,449.10, 11,661.34 and 4,912.82

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Solution

The fourth proportional to 8,449.10, 11,661.34 and 4,912.82 is: 6,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.10 : 11,661.34 = 4,912.82 : x
  2. Step 2: Convert to fraction form
    8,449.10/11,661.34 = 4,912.82/x
  3. Step 3: Cross multiply
    8,449.10x = 11,661.34 × 4,912.82
  4. Step 4: Simplify right side
    8,449.10x = 57,290,064.38
  5. Step 5: Solve for x
    x = 57,290,064.38/8,449.10
  6. Step 6: Final answer
    x = 6,780.61

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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.