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Finding the Fourth Proportional to 7,772, 11,654.48 and 2,224

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Solution

The fourth proportional to 7,772, 11,654.48 and 2,224 is: 3,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 11,654.48 = 2,224 : x
  2. Step 2: Convert to fraction form
    7,772/11,654.48 = 2,224/x
  3. Step 3: Cross multiply
    7,772x = 11,654.48 × 2,224
  4. Step 4: Simplify right side
    7,772x = 25,919,563.52
  5. Step 5: Solve for x
    x = 25,919,563.52/7,772
  6. Step 6: Final answer
    x = 3,334.99

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