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Finding the Fourth Proportional to 10,664.80, 15,985.20 and 5,120.80

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Solution

The fourth proportional to 10,664.80, 15,985.20 and 5,120.80 is: 7,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.80 : 15,985.20 = 5,120.80 : x
  2. Step 2: Convert to fraction form
    10,664.80/15,985.20 = 5,120.80/x
  3. Step 3: Cross multiply
    10,664.80x = 15,985.20 × 5,120.80
  4. Step 4: Simplify right side
    10,664.80x = 81,857,012.16
  5. Step 5: Solve for x
    x = 81,857,012.16/10,664.80
  6. Step 6: Final answer
    x = 7,675.44

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