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Finding the Fourth Proportional to 11,684.64, 17,531.76 and 5,107.44

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Solution

The fourth proportional to 11,684.64, 17,531.76 and 5,107.44 is: 7,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.64 : 17,531.76 = 5,107.44 : x
  2. Step 2: Convert to fraction form
    11,684.64/17,531.76 = 5,107.44/x
  3. Step 3: Cross multiply
    11,684.64x = 17,531.76 × 5,107.44
  4. Step 4: Simplify right side
    11,684.64x = 89,542,412.29
  5. Step 5: Solve for x
    x = 89,542,412.29/11,684.64
  6. Step 6: Final answer
    x = 7,663.26

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