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Finding the Fourth Proportional to 7,846.87, 10,828.64 and 4,261.80

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Solution

The fourth proportional to 7,846.87, 10,828.64 and 4,261.80 is: 5,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.87 : 10,828.64 = 4,261.80 : x
  2. Step 2: Convert to fraction form
    7,846.87/10,828.64 = 4,261.80/x
  3. Step 3: Cross multiply
    7,846.87x = 10,828.64 × 4,261.80
  4. Step 4: Simplify right side
    7,846.87x = 46,149,476.64
  5. Step 5: Solve for x
    x = 46,149,476.64/7,846.87
  6. Step 6: Final answer
    x = 5,881.26

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