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Finding the Fourth Proportional to 10,720.78, 14,802.52 and 7,743.22

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Solution

The fourth proportional to 10,720.78, 14,802.52 and 7,743.22 is: 10,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.78 : 14,802.52 = 7,743.22 : x
  2. Step 2: Convert to fraction form
    10,720.78/14,802.52 = 7,743.22/x
  3. Step 3: Cross multiply
    10,720.78x = 14,802.52 × 7,743.22
  4. Step 4: Simplify right side
    10,720.78x = 114,619,168.91
  5. Step 5: Solve for x
    x = 114,619,168.91/10,720.78
  6. Step 6: Final answer
    x = 10,691.31

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