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Finding the Fourth Proportional to 27,980.64, 41,971.77 and 7,204.14

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Solution

The fourth proportional to 27,980.64, 41,971.77 and 7,204.14 is: 10,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.64 : 41,971.77 = 7,204.14 : x
  2. Step 2: Convert to fraction form
    27,980.64/41,971.77 = 7,204.14/x
  3. Step 3: Cross multiply
    27,980.64x = 41,971.77 × 7,204.14
  4. Step 4: Simplify right side
    27,980.64x = 302,370,507.13
  5. Step 5: Solve for x
    x = 302,370,507.13/27,980.64
  6. Step 6: Final answer
    x = 10,806.42

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