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Finding the Fourth Proportional to 6,743.94, 10,120.22 and 3,279.30

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Solution

The fourth proportional to 6,743.94, 10,120.22 and 3,279.30 is: 4,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.94 : 10,120.22 = 3,279.30 : x
  2. Step 2: Convert to fraction form
    6,743.94/10,120.22 = 3,279.30/x
  3. Step 3: Cross multiply
    6,743.94x = 10,120.22 × 3,279.30
  4. Step 4: Simplify right side
    6,743.94x = 33,187,237.45
  5. Step 5: Solve for x
    x = 33,187,237.45/6,743.94
  6. Step 6: Final answer
    x = 4,921.05

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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.