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Finding the Fourth Proportional to 11,587.81, 17,363.82 and 7,824.84

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Solution

The fourth proportional to 11,587.81, 17,363.82 and 7,824.84 is: 11,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.81 : 17,363.82 = 7,824.84 : x
  2. Step 2: Convert to fraction form
    11,587.81/17,363.82 = 7,824.84/x
  3. Step 3: Cross multiply
    11,587.81x = 17,363.82 × 7,824.84
  4. Step 4: Simplify right side
    11,587.81x = 135,869,076.38
  5. Step 5: Solve for x
    x = 135,869,076.38/11,587.81
  6. Step 6: Final answer
    x = 11,725.18

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