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Finding the Fourth Proportional to 7,878.80, 11,824.68 and 5,584.88

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Solution

The fourth proportional to 7,878.80, 11,824.68 and 5,584.88 is: 8,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.80 : 11,824.68 = 5,584.88 : x
  2. Step 2: Convert to fraction form
    7,878.80/11,824.68 = 5,584.88/x
  3. Step 3: Cross multiply
    7,878.80x = 11,824.68 × 5,584.88
  4. Step 4: Simplify right side
    7,878.80x = 66,039,418.84
  5. Step 5: Solve for x
    x = 66,039,418.84/7,878.80
  6. Step 6: Final answer
    x = 8,381.91

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