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Finding the Fourth Proportional to 10,582.78, 15,845.82 and 7,279.60

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Solution

The fourth proportional to 10,582.78, 15,845.82 and 7,279.60 is: 10,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.78 : 15,845.82 = 7,279.60 : x
  2. Step 2: Convert to fraction form
    10,582.78/15,845.82 = 7,279.60/x
  3. Step 3: Cross multiply
    10,582.78x = 15,845.82 × 7,279.60
  4. Step 4: Simplify right side
    10,582.78x = 115,351,231.27
  5. Step 5: Solve for x
    x = 115,351,231.27/10,582.78
  6. Step 6: Final answer
    x = 10,899.90

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