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Finding the Fourth Proportional to 8.23, 12.37 and 5.84

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Solution

The fourth proportional to 8.23, 12.37 and 5.84 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 12.37 = 5.84 : x
  2. Step 2: Convert to fraction form
    8.23/12.37 = 5.84/x
  3. Step 3: Cross multiply
    8.23x = 12.37 × 5.84
  4. Step 4: Simplify right side
    8.23x = 72.24
  5. Step 5: Solve for x
    x = 72.24/8.23
  6. Step 6: Final answer
    x = 8.78

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