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Finding the Fourth Proportional to 10,582.88, 15,874.31 and 3,657.38

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Solution

The fourth proportional to 10,582.88, 15,874.31 and 3,657.38 is: 5,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.88 : 15,874.31 = 3,657.38 : x
  2. Step 2: Convert to fraction form
    10,582.88/15,874.31 = 3,657.38/x
  3. Step 3: Cross multiply
    10,582.88x = 15,874.31 × 3,657.38
  4. Step 4: Simplify right side
    10,582.88x = 58,058,313.68
  5. Step 5: Solve for x
    x = 58,058,313.68/10,582.88
  6. Step 6: Final answer
    x = 5,486.06

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