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Finding the Fourth Proportional to 8,205.05, 11,324.27 and 5,217.77

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Solution

The fourth proportional to 8,205.05, 11,324.27 and 5,217.77 is: 7,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.05 : 11,324.27 = 5,217.77 : x
  2. Step 2: Convert to fraction form
    8,205.05/11,324.27 = 5,217.77/x
  3. Step 3: Cross multiply
    8,205.05x = 11,324.27 × 5,217.77
  4. Step 4: Simplify right side
    8,205.05x = 59,087,436.28
  5. Step 5: Solve for x
    x = 59,087,436.28/8,205.05
  6. Step 6: Final answer
    x = 7,201.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.