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Finding the Fourth Proportional to 11,786.49, 16,264.35 and 7,069.86

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Solution

The fourth proportional to 11,786.49, 16,264.35 and 7,069.86 is: 9,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.49 : 16,264.35 = 7,069.86 : x
  2. Step 2: Convert to fraction form
    11,786.49/16,264.35 = 7,069.86/x
  3. Step 3: Cross multiply
    11,786.49x = 16,264.35 × 7,069.86
  4. Step 4: Simplify right side
    11,786.49x = 114,986,677.49
  5. Step 5: Solve for x
    x = 114,986,677.49/11,786.49
  6. Step 6: Final answer
    x = 9,755.80

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