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Finding the Fourth Proportional to 11,686.28, 17,538.76 and 6,142.92

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Solution

The fourth proportional to 11,686.28, 17,538.76 and 6,142.92 is: 9,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.28 : 17,538.76 = 6,142.92 : x
  2. Step 2: Convert to fraction form
    11,686.28/17,538.76 = 6,142.92/x
  3. Step 3: Cross multiply
    11,686.28x = 17,538.76 × 6,142.92
  4. Step 4: Simplify right side
    11,686.28x = 107,739,199.58
  5. Step 5: Solve for x
    x = 107,739,199.58/11,686.28
  6. Step 6: Final answer
    x = 9,219.29

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