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Finding the Fourth Proportional to 11,857.28, 17,784.24 and 3,538.64

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Solution

The fourth proportional to 11,857.28, 17,784.24 and 3,538.64 is: 5,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.28 : 17,784.24 = 3,538.64 : x
  2. Step 2: Convert to fraction form
    11,857.28/17,784.24 = 3,538.64/x
  3. Step 3: Cross multiply
    11,857.28x = 17,784.24 × 3,538.64
  4. Step 4: Simplify right side
    11,857.28x = 62,932,023.03
  5. Step 5: Solve for x
    x = 62,932,023.03/11,857.28
  6. Step 6: Final answer
    x = 5,307.46

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