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Finding the Fourth Proportional to 11,416.78, 15,749.40 and 7,640.10

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Solution

The fourth proportional to 11,416.78, 15,749.40 and 7,640.10 is: 10,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.78 : 15,749.40 = 7,640.10 : x
  2. Step 2: Convert to fraction form
    11,416.78/15,749.40 = 7,640.10/x
  3. Step 3: Cross multiply
    11,416.78x = 15,749.40 × 7,640.10
  4. Step 4: Simplify right side
    11,416.78x = 120,326,990.94
  5. Step 5: Solve for x
    x = 120,326,990.94/11,416.78
  6. Step 6: Final answer
    x = 10,539.49

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