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Finding the Fourth Proportional to 10,822.61, 16,231.86 and 3,800.98

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Solution

The fourth proportional to 10,822.61, 16,231.86 and 3,800.98 is: 5,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.61 : 16,231.86 = 3,800.98 : x
  2. Step 2: Convert to fraction form
    10,822.61/16,231.86 = 3,800.98/x
  3. Step 3: Cross multiply
    10,822.61x = 16,231.86 × 3,800.98
  4. Step 4: Simplify right side
    10,822.61x = 61,696,904.21
  5. Step 5: Solve for x
    x = 61,696,904.21/10,822.61
  6. Step 6: Final answer
    x = 5,700.74

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