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Finding the Fourth Proportional to 8,233.92, 11,357.82 and 7,239.24

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Solution

The fourth proportional to 8,233.92, 11,357.82 and 7,239.24 is: 9,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.92 : 11,357.82 = 7,239.24 : x
  2. Step 2: Convert to fraction form
    8,233.92/11,357.82 = 7,239.24/x
  3. Step 3: Cross multiply
    8,233.92x = 11,357.82 × 7,239.24
  4. Step 4: Simplify right side
    8,233.92x = 82,221,984.86
  5. Step 5: Solve for x
    x = 82,221,984.86/8,233.92
  6. Step 6: Final answer
    x = 9,985.76

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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.