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Finding the Fourth Proportional to 8,626.38, 11,905.83 and 6,766.62

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Solution

The fourth proportional to 8,626.38, 11,905.83 and 6,766.62 is: 9,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.38 : 11,905.83 = 6,766.62 : x
  2. Step 2: Convert to fraction form
    8,626.38/11,905.83 = 6,766.62/x
  3. Step 3: Cross multiply
    8,626.38x = 11,905.83 × 6,766.62
  4. Step 4: Simplify right side
    8,626.38x = 80,562,227.39
  5. Step 5: Solve for x
    x = 80,562,227.39/8,626.38
  6. Step 6: Final answer
    x = 9,339.05

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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.