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Finding the Fourth Proportional to 10,490.83, 15,738.69 and 3,470.56

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Solution

The fourth proportional to 10,490.83, 15,738.69 and 3,470.56 is: 5,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.83 : 15,738.69 = 3,470.56 : x
  2. Step 2: Convert to fraction form
    10,490.83/15,738.69 = 3,470.56/x
  3. Step 3: Cross multiply
    10,490.83x = 15,738.69 × 3,470.56
  4. Step 4: Simplify right side
    10,490.83x = 54,622,067.97
  5. Step 5: Solve for x
    x = 54,622,067.97/10,490.83
  6. Step 6: Final answer
    x = 5,206.65

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