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Finding the Fourth Proportional to 8,271.62, 11,414.66 and 4,494.68

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Solution

The fourth proportional to 8,271.62, 11,414.66 and 4,494.68 is: 6,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.62 : 11,414.66 = 4,494.68 : x
  2. Step 2: Convert to fraction form
    8,271.62/11,414.66 = 4,494.68/x
  3. Step 3: Cross multiply
    8,271.62x = 11,414.66 × 4,494.68
  4. Step 4: Simplify right side
    8,271.62x = 51,305,244.01
  5. Step 5: Solve for x
    x = 51,305,244.01/8,271.62
  6. Step 6: Final answer
    x = 6,202.56

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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.