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Finding the Fourth Proportional to 6,783.70, 10,175.66 and 1,853.74

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Solution

The fourth proportional to 6,783.70, 10,175.66 and 1,853.74 is: 2,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.70 : 10,175.66 = 1,853.74 : x
  2. Step 2: Convert to fraction form
    6,783.70/10,175.66 = 1,853.74/x
  3. Step 3: Cross multiply
    6,783.70x = 10,175.66 × 1,853.74
  4. Step 4: Simplify right side
    6,783.70x = 18,863,027.97
  5. Step 5: Solve for x
    x = 18,863,027.97/6,783.70
  6. Step 6: Final answer
    x = 2,780.64

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