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Finding the Fourth Proportional to 7,321.75, 10,103.94 and 3,964.57

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Solution

The fourth proportional to 7,321.75, 10,103.94 and 3,964.57 is: 5,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.75 : 10,103.94 = 3,964.57 : x
  2. Step 2: Convert to fraction form
    7,321.75/10,103.94 = 3,964.57/x
  3. Step 3: Cross multiply
    7,321.75x = 10,103.94 × 3,964.57
  4. Step 4: Simplify right side
    7,321.75x = 40,057,777.41
  5. Step 5: Solve for x
    x = 40,057,777.41/7,321.75
  6. Step 6: Final answer
    x = 5,471.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.