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Finding the Fourth Proportional to 11,017.96, 15,204.78 and 5,982.15

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Solution

The fourth proportional to 11,017.96, 15,204.78 and 5,982.15 is: 8,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.96 : 15,204.78 = 5,982.15 : x
  2. Step 2: Convert to fraction form
    11,017.96/15,204.78 = 5,982.15/x
  3. Step 3: Cross multiply
    11,017.96x = 15,204.78 × 5,982.15
  4. Step 4: Simplify right side
    11,017.96x = 90,957,331.69
  5. Step 5: Solve for x
    x = 90,957,331.69/11,017.96
  6. Step 6: Final answer
    x = 8,255.37

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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.