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Finding the Fourth Proportional to 6,971.54, 10,456.49 and 2,587.82

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Solution

The fourth proportional to 6,971.54, 10,456.49 and 2,587.82 is: 3,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.54 : 10,456.49 = 2,587.82 : x
  2. Step 2: Convert to fraction form
    6,971.54/10,456.49 = 2,587.82/x
  3. Step 3: Cross multiply
    6,971.54x = 10,456.49 × 2,587.82
  4. Step 4: Simplify right side
    6,971.54x = 27,059,468.14
  5. Step 5: Solve for x
    x = 27,059,468.14/6,971.54
  6. Step 6: Final answer
    x = 3,881.42

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