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Finding the Fourth Proportional to 11,811.56, 16,299.90 and 6,506.33

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Solution

The fourth proportional to 11,811.56, 16,299.90 and 6,506.33 is: 8,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.56 : 16,299.90 = 6,506.33 : x
  2. Step 2: Convert to fraction form
    11,811.56/16,299.90 = 6,506.33/x
  3. Step 3: Cross multiply
    11,811.56x = 16,299.90 × 6,506.33
  4. Step 4: Simplify right side
    11,811.56x = 106,052,446.87
  5. Step 5: Solve for x
    x = 106,052,446.87/11,811.56
  6. Step 6: Final answer
    x = 8,978.70

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