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Finding the Fourth Proportional to 11,833.69, 17,747.97 and 4,811.90

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Solution

The fourth proportional to 11,833.69, 17,747.97 and 4,811.90 is: 7,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.69 : 17,747.97 = 4,811.90 : x
  2. Step 2: Convert to fraction form
    11,833.69/17,747.97 = 4,811.90/x
  3. Step 3: Cross multiply
    11,833.69x = 17,747.97 × 4,811.90
  4. Step 4: Simplify right side
    11,833.69x = 85,401,456.84
  5. Step 5: Solve for x
    x = 85,401,456.84/11,833.69
  6. Step 6: Final answer
    x = 7,216.81

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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.