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Finding the Fourth Proportional to 11,596, 16,002.96 and 6,628

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Solution

The fourth proportional to 11,596, 16,002.96 and 6,628 is: 9,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 16,002.96 = 6,628 : x
  2. Step 2: Convert to fraction form
    11,596/16,002.96 = 6,628/x
  3. Step 3: Cross multiply
    11,596x = 16,002.96 × 6,628
  4. Step 4: Simplify right side
    11,596x = 106,067,618.88
  5. Step 5: Solve for x
    x = 106,067,618.88/11,596
  6. Step 6: Final answer
    x = 9,146.91

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