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Finding the Fourth Proportional to 10,769.12, 16,153.76 and 2,978

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Solution

The fourth proportional to 10,769.12, 16,153.76 and 2,978 is: 4,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.12 : 16,153.76 = 2,978 : x
  2. Step 2: Convert to fraction form
    10,769.12/16,153.76 = 2,978/x
  3. Step 3: Cross multiply
    10,769.12x = 16,153.76 × 2,978
  4. Step 4: Simplify right side
    10,769.12x = 48,105,897.28
  5. Step 5: Solve for x
    x = 48,105,897.28/10,769.12
  6. Step 6: Final answer
    x = 4,467.02

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