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Finding the Fourth Proportional to 10,811.82, 16,222.02 and 3,886.86

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Solution

The fourth proportional to 10,811.82, 16,222.02 and 3,886.86 is: 5,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.82 : 16,222.02 = 3,886.86 : x
  2. Step 2: Convert to fraction form
    10,811.82/16,222.02 = 3,886.86/x
  3. Step 3: Cross multiply
    10,811.82x = 16,222.02 × 3,886.86
  4. Step 4: Simplify right side
    10,811.82x = 63,052,720.66
  5. Step 5: Solve for x
    x = 63,052,720.66/10,811.82
  6. Step 6: Final answer
    x = 5,831.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.