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Finding the Fourth Proportional to 8,229.82, 11,354.34 and 4,690.48

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Solution

The fourth proportional to 8,229.82, 11,354.34 and 4,690.48 is: 6,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.82 : 11,354.34 = 4,690.48 : x
  2. Step 2: Convert to fraction form
    8,229.82/11,354.34 = 4,690.48/x
  3. Step 3: Cross multiply
    8,229.82x = 11,354.34 × 4,690.48
  4. Step 4: Simplify right side
    8,229.82x = 53,257,304.68
  5. Step 5: Solve for x
    x = 53,257,304.68/8,229.82
  6. Step 6: Final answer
    x = 6,471.26

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