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Finding the Fourth Proportional to 8,212.24, 11,407.36 and 8,085.05

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Solution

The fourth proportional to 8,212.24, 11,407.36 and 8,085.05 is: 11,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.24 : 11,407.36 = 8,085.05 : x
  2. Step 2: Convert to fraction form
    8,212.24/11,407.36 = 8,085.05/x
  3. Step 3: Cross multiply
    8,212.24x = 11,407.36 × 8,085.05
  4. Step 4: Simplify right side
    8,212.24x = 92,229,035.54
  5. Step 5: Solve for x
    x = 92,229,035.54/8,212.24
  6. Step 6: Final answer
    x = 11,230.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.