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Finding the Fourth Proportional to 4,116, 6,177.12 and 2,172

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Solution

The fourth proportional to 4,116, 6,177.12 and 2,172 is: 3,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,177.12 = 2,172 : x
  2. Step 2: Convert to fraction form
    4,116/6,177.12 = 2,172/x
  3. Step 3: Cross multiply
    4,116x = 6,177.12 × 2,172
  4. Step 4: Simplify right side
    4,116x = 13,416,704.64
  5. Step 5: Solve for x
    x = 13,416,704.64/4,116
  6. Step 6: Final answer
    x = 3,259.65

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