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Finding the Fourth Proportional to 11,600.85, 15,999.29 and 7,819.05

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Solution

The fourth proportional to 11,600.85, 15,999.29 and 7,819.05 is: 10,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.85 : 15,999.29 = 7,819.05 : x
  2. Step 2: Convert to fraction form
    11,600.85/15,999.29 = 7,819.05/x
  3. Step 3: Cross multiply
    11,600.85x = 15,999.29 × 7,819.05
  4. Step 4: Simplify right side
    11,600.85x = 125,099,252.68
  5. Step 5: Solve for x
    x = 125,099,252.68/11,600.85
  6. Step 6: Final answer
    x = 10,783.62

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