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Finding the Fourth Proportional to 11,811.63, 16,299.79 and 6,506.49

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Solution

The fourth proportional to 11,811.63, 16,299.79 and 6,506.49 is: 8,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.63 : 16,299.79 = 6,506.49 : x
  2. Step 2: Convert to fraction form
    11,811.63/16,299.79 = 6,506.49/x
  3. Step 3: Cross multiply
    11,811.63x = 16,299.79 × 6,506.49
  4. Step 4: Simplify right side
    11,811.63x = 106,054,420.64
  5. Step 5: Solve for x
    x = 106,054,420.64/11,811.63
  6. Step 6: Final answer
    x = 8,978.81

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