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Finding the Fourth Proportional to 10,587.78, 15,881.52 and 2,582.58

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Solution

The fourth proportional to 10,587.78, 15,881.52 and 2,582.58 is: 3,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.78 : 15,881.52 = 2,582.58 : x
  2. Step 2: Convert to fraction form
    10,587.78/15,881.52 = 2,582.58/x
  3. Step 3: Cross multiply
    10,587.78x = 15,881.52 × 2,582.58
  4. Step 4: Simplify right side
    10,587.78x = 41,015,295.92
  5. Step 5: Solve for x
    x = 41,015,295.92/10,587.78
  6. Step 6: Final answer
    x = 3,873.83

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