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Finding the Fourth Proportional to 11,620.64, 16,032.86 and 6,584.47

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Solution

The fourth proportional to 11,620.64, 16,032.86 and 6,584.47 is: 9,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.64 : 16,032.86 = 6,584.47 : x
  2. Step 2: Convert to fraction form
    11,620.64/16,032.86 = 6,584.47/x
  3. Step 3: Cross multiply
    11,620.64x = 16,032.86 × 6,584.47
  4. Step 4: Simplify right side
    11,620.64x = 105,567,885.68
  5. Step 5: Solve for x
    x = 105,567,885.68/11,620.64
  6. Step 6: Final answer
    x = 9,084.52

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