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Finding the Fourth Proportional to 7,858.64, 11,784.83 and 3,177.75

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Solution

The fourth proportional to 7,858.64, 11,784.83 and 3,177.75 is: 4,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.64 : 11,784.83 = 3,177.75 : x
  2. Step 2: Convert to fraction form
    7,858.64/11,784.83 = 3,177.75/x
  3. Step 3: Cross multiply
    7,858.64x = 11,784.83 × 3,177.75
  4. Step 4: Simplify right side
    7,858.64x = 37,449,271.84
  5. Step 5: Solve for x
    x = 37,449,271.84/7,858.64
  6. Step 6: Final answer
    x = 4,765.36

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