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Finding the Fourth Proportional to 11,588.28, 17,382.57 and 7,664.64

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Solution

The fourth proportional to 11,588.28, 17,382.57 and 7,664.64 is: 11,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.28 : 17,382.57 = 7,664.64 : x
  2. Step 2: Convert to fraction form
    11,588.28/17,382.57 = 7,664.64/x
  3. Step 3: Cross multiply
    11,588.28x = 17,382.57 × 7,664.64
  4. Step 4: Simplify right side
    11,588.28x = 133,231,141.32
  5. Step 5: Solve for x
    x = 133,231,141.32/11,588.28
  6. Step 6: Final answer
    x = 11,497.06

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