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Finding the Fourth Proportional to 11,971.28, 17,919.94 and 7,802.32

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Solution

The fourth proportional to 11,971.28, 17,919.94 and 7,802.32 is: 11,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.28 : 17,919.94 = 7,802.32 : x
  2. Step 2: Convert to fraction form
    11,971.28/17,919.94 = 7,802.32/x
  3. Step 3: Cross multiply
    11,971.28x = 17,919.94 × 7,802.32
  4. Step 4: Simplify right side
    11,971.28x = 139,817,106.26
  5. Step 5: Solve for x
    x = 139,817,106.26/11,971.28
  6. Step 6: Final answer
    x = 11,679.38

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