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Finding the Fourth Proportional to 6,685.88, 10,029.30 and 2,005.78

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Solution

The fourth proportional to 6,685.88, 10,029.30 and 2,005.78 is: 3,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.88 : 10,029.30 = 2,005.78 : x
  2. Step 2: Convert to fraction form
    6,685.88/10,029.30 = 2,005.78/x
  3. Step 3: Cross multiply
    6,685.88x = 10,029.30 × 2,005.78
  4. Step 4: Simplify right side
    6,685.88x = 20,116,569.35
  5. Step 5: Solve for x
    x = 20,116,569.35/6,685.88
  6. Step 6: Final answer
    x = 3,008.81

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