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Finding the Fourth Proportional to 10,655.36, 15,983.76 and 5,109.92

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Solution

The fourth proportional to 10,655.36, 15,983.76 and 5,109.92 is: 7,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.36 : 15,983.76 = 5,109.92 : x
  2. Step 2: Convert to fraction form
    10,655.36/15,983.76 = 5,109.92/x
  3. Step 3: Cross multiply
    10,655.36x = 15,983.76 × 5,109.92
  4. Step 4: Simplify right side
    10,655.36x = 81,675,734.90
  5. Step 5: Solve for x
    x = 81,675,734.90/10,655.36
  6. Step 6: Final answer
    x = 7,665.23

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