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Finding the Fourth Proportional to 12,160.86, 16,784.40 and 7,682.40

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Solution

The fourth proportional to 12,160.86, 16,784.40 and 7,682.40 is: 10,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.86 : 16,784.40 = 7,682.40 : x
  2. Step 2: Convert to fraction form
    12,160.86/16,784.40 = 7,682.40/x
  3. Step 3: Cross multiply
    12,160.86x = 16,784.40 × 7,682.40
  4. Step 4: Simplify right side
    12,160.86x = 128,944,474.56
  5. Step 5: Solve for x
    x = 128,944,474.56/12,160.86
  6. Step 6: Final answer
    x = 10,603.24

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