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Finding the Fourth Proportional to 11,702.40, 17,584.80 and 6,441.60

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Solution

The fourth proportional to 11,702.40, 17,584.80 and 6,441.60 is: 9,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.40 : 17,584.80 = 6,441.60 : x
  2. Step 2: Convert to fraction form
    11,702.40/17,584.80 = 6,441.60/x
  3. Step 3: Cross multiply
    11,702.40x = 17,584.80 × 6,441.60
  4. Step 4: Simplify right side
    11,702.40x = 113,274,247.68
  5. Step 5: Solve for x
    x = 113,274,247.68/11,702.40
  6. Step 6: Final answer
    x = 9,679.57

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