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Finding the Fourth Proportional to 11,576.77, 17,365.19 and 2,811.67

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Solution

The fourth proportional to 11,576.77, 17,365.19 and 2,811.67 is: 4,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.77 : 17,365.19 = 2,811.67 : x
  2. Step 2: Convert to fraction form
    11,576.77/17,365.19 = 2,811.67/x
  3. Step 3: Cross multiply
    11,576.77x = 17,365.19 × 2,811.67
  4. Step 4: Simplify right side
    11,576.77x = 48,825,183.77
  5. Step 5: Solve for x
    x = 48,825,183.77/11,576.77
  6. Step 6: Final answer
    x = 4,217.51

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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.