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Finding the Fourth Proportional to 8,161.74, 11,262.97 and 4,626.09

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Solution

The fourth proportional to 8,161.74, 11,262.97 and 4,626.09 is: 6,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.74 : 11,262.97 = 4,626.09 : x
  2. Step 2: Convert to fraction form
    8,161.74/11,262.97 = 4,626.09/x
  3. Step 3: Cross multiply
    8,161.74x = 11,262.97 × 4,626.09
  4. Step 4: Simplify right side
    8,161.74x = 52,103,512.89
  5. Step 5: Solve for x
    x = 52,103,512.89/8,161.74
  6. Step 6: Final answer
    x = 6,383.87

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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.