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Finding the Fourth Proportional to 8,233.92, 11,364.66 and 5,249.16

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Solution

The fourth proportional to 8,233.92, 11,364.66 and 5,249.16 is: 7,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.92 : 11,364.66 = 5,249.16 : x
  2. Step 2: Convert to fraction form
    8,233.92/11,364.66 = 5,249.16/x
  3. Step 3: Cross multiply
    8,233.92x = 11,364.66 × 5,249.16
  4. Step 4: Simplify right side
    8,233.92x = 59,654,918.69
  5. Step 5: Solve for x
    x = 59,654,918.69/8,233.92
  6. Step 6: Final answer
    x = 7,245.02

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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.