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Finding the Fourth Proportional to 11,383.92, 17,053.92 and 6,438.42

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Solution

The fourth proportional to 11,383.92, 17,053.92 and 6,438.42 is: 9,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.92 : 17,053.92 = 6,438.42 : x
  2. Step 2: Convert to fraction form
    11,383.92/17,053.92 = 6,438.42/x
  3. Step 3: Cross multiply
    11,383.92x = 17,053.92 × 6,438.42
  4. Step 4: Simplify right side
    11,383.92x = 109,800,299.61
  5. Step 5: Solve for x
    x = 109,800,299.61/11,383.92
  6. Step 6: Final answer
    x = 9,645.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.