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Finding the Fourth Proportional to 6,847.44, 10,264.77 and 3,722.82

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Solution

The fourth proportional to 6,847.44, 10,264.77 and 3,722.82 is: 5,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.44 : 10,264.77 = 3,722.82 : x
  2. Step 2: Convert to fraction form
    6,847.44/10,264.77 = 3,722.82/x
  3. Step 3: Cross multiply
    6,847.44x = 10,264.77 × 3,722.82
  4. Step 4: Simplify right side
    6,847.44x = 38,213,891.05
  5. Step 5: Solve for x
    x = 38,213,891.05/6,847.44
  6. Step 6: Final answer
    x = 5,580.76

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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.