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Finding the Fourth Proportional to 8,162.60, 11,249.06 and 5,640.20

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Solution

The fourth proportional to 8,162.60, 11,249.06 and 5,640.20 is: 7,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.60 : 11,249.06 = 5,640.20 : x
  2. Step 2: Convert to fraction form
    8,162.60/11,249.06 = 5,640.20/x
  3. Step 3: Cross multiply
    8,162.60x = 11,249.06 × 5,640.20
  4. Step 4: Simplify right side
    8,162.60x = 63,446,863.77
  5. Step 5: Solve for x
    x = 63,446,863.77/8,162.60
  6. Step 6: Final answer
    x = 7,772.88

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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.