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Finding the Fourth Proportional to 6,857.74, 10,278.83 and 3,152.31

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Solution

The fourth proportional to 6,857.74, 10,278.83 and 3,152.31 is: 4,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.74 : 10,278.83 = 3,152.31 : x
  2. Step 2: Convert to fraction form
    6,857.74/10,278.83 = 3,152.31/x
  3. Step 3: Cross multiply
    6,857.74x = 10,278.83 × 3,152.31
  4. Step 4: Simplify right side
    6,857.74x = 32,402,042.84
  5. Step 5: Solve for x
    x = 32,402,042.84/6,857.74
  6. Step 6: Final answer
    x = 4,724.89

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