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Finding the Fourth Proportional to 11,971.96, 17,957.92 and 3,206.63

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Solution

The fourth proportional to 11,971.96, 17,957.92 and 3,206.63 is: 4,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.96 : 17,957.92 = 3,206.63 : x
  2. Step 2: Convert to fraction form
    11,971.96/17,957.92 = 3,206.63/x
  3. Step 3: Cross multiply
    11,971.96x = 17,957.92 × 3,206.63
  4. Step 4: Simplify right side
    11,971.96x = 57,584,459.93
  5. Step 5: Solve for x
    x = 57,584,459.93/11,971.96
  6. Step 6: Final answer
    x = 4,809.95

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