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Finding the Fourth Proportional to 7,828.65, 11,744.80 and 2,563.64

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Solution

The fourth proportional to 7,828.65, 11,744.80 and 2,563.64 is: 3,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.65 : 11,744.80 = 2,563.64 : x
  2. Step 2: Convert to fraction form
    7,828.65/11,744.80 = 2,563.64/x
  3. Step 3: Cross multiply
    7,828.65x = 11,744.80 × 2,563.64
  4. Step 4: Simplify right side
    7,828.65x = 30,109,462.02
  5. Step 5: Solve for x
    x = 30,109,462.02/7,828.65
  6. Step 6: Final answer
    x = 3,846.06

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