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Finding the Fourth Proportional to 7,202.72, 10,802.64 and 2,584.80

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Solution

The fourth proportional to 7,202.72, 10,802.64 and 2,584.80 is: 3,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.72 : 10,802.64 = 2,584.80 : x
  2. Step 2: Convert to fraction form
    7,202.72/10,802.64 = 2,584.80/x
  3. Step 3: Cross multiply
    7,202.72x = 10,802.64 × 2,584.80
  4. Step 4: Simplify right side
    7,202.72x = 27,922,663.87
  5. Step 5: Solve for x
    x = 27,922,663.87/7,202.72
  6. Step 6: Final answer
    x = 3,876.68

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