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Finding the Fourth Proportional to 7,784.82, 11,677.36 and 2,447.84

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Solution

The fourth proportional to 7,784.82, 11,677.36 and 2,447.84 is: 3,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.82 : 11,677.36 = 2,447.84 : x
  2. Step 2: Convert to fraction form
    7,784.82/11,677.36 = 2,447.84/x
  3. Step 3: Cross multiply
    7,784.82x = 11,677.36 × 2,447.84
  4. Step 4: Simplify right side
    7,784.82x = 28,584,274.32
  5. Step 5: Solve for x
    x = 28,584,274.32/7,784.82
  6. Step 6: Final answer
    x = 3,671.80

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