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Finding the Fourth Proportional to 7,684.42, 11,502.84 and 4,165.72

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Solution

The fourth proportional to 7,684.42, 11,502.84 and 4,165.72 is: 6,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.42 : 11,502.84 = 4,165.72 : x
  2. Step 2: Convert to fraction form
    7,684.42/11,502.84 = 4,165.72/x
  3. Step 3: Cross multiply
    7,684.42x = 11,502.84 × 4,165.72
  4. Step 4: Simplify right side
    7,684.42x = 47,917,610.64
  5. Step 5: Solve for x
    x = 47,917,610.64/7,684.42
  6. Step 6: Final answer
    x = 6,235.68

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