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Finding the Fourth Proportional to 10,605.77, 15,912.80 and 3,946.36

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Solution

The fourth proportional to 10,605.77, 15,912.80 and 3,946.36 is: 5,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.77 : 15,912.80 = 3,946.36 : x
  2. Step 2: Convert to fraction form
    10,605.77/15,912.80 = 3,946.36/x
  3. Step 3: Cross multiply
    10,605.77x = 15,912.80 × 3,946.36
  4. Step 4: Simplify right side
    10,605.77x = 62,797,637.41
  5. Step 5: Solve for x
    x = 62,797,637.41/10,605.77
  6. Step 6: Final answer
    x = 5,921.08

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