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Finding the Fourth Proportional to 10,905.12, 16,354.44 and 3,978

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Solution

The fourth proportional to 10,905.12, 16,354.44 and 3,978 is: 5,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.12 : 16,354.44 = 3,978 : x
  2. Step 2: Convert to fraction form
    10,905.12/16,354.44 = 3,978/x
  3. Step 3: Cross multiply
    10,905.12x = 16,354.44 × 3,978
  4. Step 4: Simplify right side
    10,905.12x = 65,057,962.32
  5. Step 5: Solve for x
    x = 65,057,962.32/10,905.12
  6. Step 6: Final answer
    x = 5,965.82

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