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Finding the Fourth Proportional to 6,803.74, 10,200.78 and 2,640.24

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Solution

The fourth proportional to 6,803.74, 10,200.78 and 2,640.24 is: 3,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.74 : 10,200.78 = 2,640.24 : x
  2. Step 2: Convert to fraction form
    6,803.74/10,200.78 = 2,640.24/x
  3. Step 3: Cross multiply
    6,803.74x = 10,200.78 × 2,640.24
  4. Step 4: Simplify right side
    6,803.74x = 26,932,507.39
  5. Step 5: Solve for x
    x = 26,932,507.39/6,803.74
  6. Step 6: Final answer
    x = 3,958.49

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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.