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Finding the Fourth Proportional to 6,803.84, 10,204.80 and 2,186.24

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Solution

The fourth proportional to 6,803.84, 10,204.80 and 2,186.24 is: 3,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.84 : 10,204.80 = 2,186.24 : x
  2. Step 2: Convert to fraction form
    6,803.84/10,204.80 = 2,186.24/x
  3. Step 3: Cross multiply
    6,803.84x = 10,204.80 × 2,186.24
  4. Step 4: Simplify right side
    6,803.84x = 22,310,141.95
  5. Step 5: Solve for x
    x = 22,310,141.95/6,803.84
  6. Step 6: Final answer
    x = 3,279.05

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