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Finding the Fourth Proportional to 7,692, 10,614.96 and 4,380.64

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Solution

The fourth proportional to 7,692, 10,614.96 and 4,380.64 is: 6,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 10,614.96 = 4,380.64 : x
  2. Step 2: Convert to fraction form
    7,692/10,614.96 = 4,380.64/x
  3. Step 3: Cross multiply
    7,692x = 10,614.96 × 4,380.64
  4. Step 4: Simplify right side
    7,692x = 46,500,318.37
  5. Step 5: Solve for x
    x = 46,500,318.37/7,692
  6. Step 6: Final answer
    x = 6,045.28

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