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Finding the Fourth Proportional to 11,829.60, 17,722.80 and 7,207.20

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Solution

The fourth proportional to 11,829.60, 17,722.80 and 7,207.20 is: 10,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.60 : 17,722.80 = 7,207.20 : x
  2. Step 2: Convert to fraction form
    11,829.60/17,722.80 = 7,207.20/x
  3. Step 3: Cross multiply
    11,829.60x = 17,722.80 × 7,207.20
  4. Step 4: Simplify right side
    11,829.60x = 127,731,764.16
  5. Step 5: Solve for x
    x = 127,731,764.16/11,829.60
  6. Step 6: Final answer
    x = 10,797.64

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