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Finding the Fourth Proportional to 27,577.98, 41,373.46 and 7,856.82

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Solution

The fourth proportional to 27,577.98, 41,373.46 and 7,856.82 is: 11,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.98 : 41,373.46 = 7,856.82 : x
  2. Step 2: Convert to fraction form
    27,577.98/41,373.46 = 7,856.82/x
  3. Step 3: Cross multiply
    27,577.98x = 41,373.46 × 7,856.82
  4. Step 4: Simplify right side
    27,577.98x = 325,063,828.00
  5. Step 5: Solve for x
    x = 325,063,828.00/27,577.98
  6. Step 6: Final answer
    x = 11,787.08

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