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Finding the Fourth Proportional to 10,919.75, 16,383.74 and 6,540.35

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Solution

The fourth proportional to 10,919.75, 16,383.74 and 6,540.35 is: 9,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.75 : 16,383.74 = 6,540.35 : x
  2. Step 2: Convert to fraction form
    10,919.75/16,383.74 = 6,540.35/x
  3. Step 3: Cross multiply
    10,919.75x = 16,383.74 × 6,540.35
  4. Step 4: Simplify right side
    10,919.75x = 107,155,279.29
  5. Step 5: Solve for x
    x = 107,155,279.29/10,919.75
  6. Step 6: Final answer
    x = 9,812.98

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