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Finding the Fourth Proportional to 6,872.34, 10,299.38 and 3,584.54

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Solution

The fourth proportional to 6,872.34, 10,299.38 and 3,584.54 is: 5,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.34 : 10,299.38 = 3,584.54 : x
  2. Step 2: Convert to fraction form
    6,872.34/10,299.38 = 3,584.54/x
  3. Step 3: Cross multiply
    6,872.34x = 10,299.38 × 3,584.54
  4. Step 4: Simplify right side
    6,872.34x = 36,918,539.59
  5. Step 5: Solve for x
    x = 36,918,539.59/6,872.34
  6. Step 6: Final answer
    x = 5,372.05

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