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Finding the Fourth Proportional to 7,725.88, 11,592.56 and 3,829.44

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Solution

The fourth proportional to 7,725.88, 11,592.56 and 3,829.44 is: 5,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.88 : 11,592.56 = 3,829.44 : x
  2. Step 2: Convert to fraction form
    7,725.88/11,592.56 = 3,829.44/x
  3. Step 3: Cross multiply
    7,725.88x = 11,592.56 × 3,829.44
  4. Step 4: Simplify right side
    7,725.88x = 44,393,012.97
  5. Step 5: Solve for x
    x = 44,393,012.97/7,725.88
  6. Step 6: Final answer
    x = 5,746.01

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