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Finding the Fourth Proportional to 6,741.64, 10,098.78 and 3,813.76

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Solution

The fourth proportional to 6,741.64, 10,098.78 and 3,813.76 is: 5,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.64 : 10,098.78 = 3,813.76 : x
  2. Step 2: Convert to fraction form
    6,741.64/10,098.78 = 3,813.76/x
  3. Step 3: Cross multiply
    6,741.64x = 10,098.78 × 3,813.76
  4. Step 4: Simplify right side
    6,741.64x = 38,514,323.21
  5. Step 5: Solve for x
    x = 38,514,323.21/6,741.64
  6. Step 6: Final answer
    x = 5,712.90

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