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Finding the Fourth Proportional to 6,705.88, 10,052.30 and 3,194.95

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Solution

The fourth proportional to 6,705.88, 10,052.30 and 3,194.95 is: 4,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.88 : 10,052.30 = 3,194.95 : x
  2. Step 2: Convert to fraction form
    6,705.88/10,052.30 = 3,194.95/x
  3. Step 3: Cross multiply
    6,705.88x = 10,052.30 × 3,194.95
  4. Step 4: Simplify right side
    6,705.88x = 32,116,579.91
  5. Step 5: Solve for x
    x = 32,116,579.91/6,705.88
  6. Step 6: Final answer
    x = 4,789.32

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