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Finding the Fourth Proportional to 6,764.16, 10,137.92 and 3,843.84

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Solution

The fourth proportional to 6,764.16, 10,137.92 and 3,843.84 is: 5,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.16 : 10,137.92 = 3,843.84 : x
  2. Step 2: Convert to fraction form
    6,764.16/10,137.92 = 3,843.84/x
  3. Step 3: Cross multiply
    6,764.16x = 10,137.92 × 3,843.84
  4. Step 4: Simplify right side
    6,764.16x = 38,968,542.41
  5. Step 5: Solve for x
    x = 38,968,542.41/6,764.16
  6. Step 6: Final answer
    x = 5,761.03

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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.