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Finding the Fourth Proportional to 11,241.72, 15,511.92 and 6,205.09

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Solution

The fourth proportional to 11,241.72, 15,511.92 and 6,205.09 is: 8,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.72 : 15,511.92 = 6,205.09 : x
  2. Step 2: Convert to fraction form
    11,241.72/15,511.92 = 6,205.09/x
  3. Step 3: Cross multiply
    11,241.72x = 15,511.92 × 6,205.09
  4. Step 4: Simplify right side
    11,241.72x = 96,252,859.67
  5. Step 5: Solve for x
    x = 96,252,859.67/11,241.72
  6. Step 6: Final answer
    x = 8,562.11

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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.