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Finding the Fourth Proportional to 7,738.64, 11,592.84 and 6,181.82

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Solution

The fourth proportional to 7,738.64, 11,592.84 and 6,181.82 is: 9,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.64 : 11,592.84 = 6,181.82 : x
  2. Step 2: Convert to fraction form
    7,738.64/11,592.84 = 6,181.82/x
  3. Step 3: Cross multiply
    7,738.64x = 11,592.84 × 6,181.82
  4. Step 4: Simplify right side
    7,738.64x = 71,664,850.17
  5. Step 5: Solve for x
    x = 71,664,850.17/7,738.64
  6. Step 6: Final answer
    x = 9,260.65

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