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Finding the Fourth Proportional to 11,888.82, 16,406.70 and 6,584.16

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Solution

The fourth proportional to 11,888.82, 16,406.70 and 6,584.16 is: 9,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.82 : 16,406.70 = 6,584.16 : x
  2. Step 2: Convert to fraction form
    11,888.82/16,406.70 = 6,584.16/x
  3. Step 3: Cross multiply
    11,888.82x = 16,406.70 × 6,584.16
  4. Step 4: Simplify right side
    11,888.82x = 108,024,337.87
  5. Step 5: Solve for x
    x = 108,024,337.87/11,888.82
  6. Step 6: Final answer
    x = 9,086.21

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