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Finding the Fourth Proportional to 10,093.84, 15,140.92 and 5,149.52

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Solution

The fourth proportional to 10,093.84, 15,140.92 and 5,149.52 is: 7,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.84 : 15,140.92 = 5,149.52 : x
  2. Step 2: Convert to fraction form
    10,093.84/15,140.92 = 5,149.52/x
  3. Step 3: Cross multiply
    10,093.84x = 15,140.92 × 5,149.52
  4. Step 4: Simplify right side
    10,093.84x = 77,968,470.36
  5. Step 5: Solve for x
    x = 77,968,470.36/10,093.84
  6. Step 6: Final answer
    x = 7,724.36

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