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Finding the Fourth Proportional to 8,249.92, 11,383.85 and 4,713.36

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Solution

The fourth proportional to 8,249.92, 11,383.85 and 4,713.36 is: 6,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.92 : 11,383.85 = 4,713.36 : x
  2. Step 2: Convert to fraction form
    8,249.92/11,383.85 = 4,713.36/x
  3. Step 3: Cross multiply
    8,249.92x = 11,383.85 × 4,713.36
  4. Step 4: Simplify right side
    8,249.92x = 53,656,195.02
  5. Step 5: Solve for x
    x = 53,656,195.02/8,249.92
  6. Step 6: Final answer
    x = 6,503.84

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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.