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Finding the Fourth Proportional to 6,766.96, 10,149.86 and 1,836.49

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Solution

The fourth proportional to 6,766.96, 10,149.86 and 1,836.49 is: 2,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.96 : 10,149.86 = 1,836.49 : x
  2. Step 2: Convert to fraction form
    6,766.96/10,149.86 = 1,836.49/x
  3. Step 3: Cross multiply
    6,766.96x = 10,149.86 × 1,836.49
  4. Step 4: Simplify right side
    6,766.96x = 18,640,116.39
  5. Step 5: Solve for x
    x = 18,640,116.39/6,766.96
  6. Step 6: Final answer
    x = 2,754.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.