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Finding the Fourth Proportional to 10,495.61, 15,738.41 and 3,827.38

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Solution

The fourth proportional to 10,495.61, 15,738.41 and 3,827.38 is: 5,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.61 : 15,738.41 = 3,827.38 : x
  2. Step 2: Convert to fraction form
    10,495.61/15,738.41 = 3,827.38/x
  3. Step 3: Cross multiply
    10,495.61x = 15,738.41 × 3,827.38
  4. Step 4: Simplify right side
    10,495.61x = 60,236,875.67
  5. Step 5: Solve for x
    x = 60,236,875.67/10,495.61
  6. Step 6: Final answer
    x = 5,739.24

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