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Finding the Fourth Proportional to 6,889.41, 10,331.74 and 2,728.30

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Solution

The fourth proportional to 6,889.41, 10,331.74 and 2,728.30 is: 4,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.41 : 10,331.74 = 2,728.30 : x
  2. Step 2: Convert to fraction form
    6,889.41/10,331.74 = 2,728.30/x
  3. Step 3: Cross multiply
    6,889.41x = 10,331.74 × 2,728.30
  4. Step 4: Simplify right side
    6,889.41x = 28,188,086.24
  5. Step 5: Solve for x
    x = 28,188,086.24/6,889.41
  6. Step 6: Final answer
    x = 4,091.51

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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.