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Finding the Fourth Proportional to 11,018, 15,204.69 and 5,982.23

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Solution

The fourth proportional to 11,018, 15,204.69 and 5,982.23 is: 8,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018 : 15,204.69 = 5,982.23 : x
  2. Step 2: Convert to fraction form
    11,018/15,204.69 = 5,982.23/x
  3. Step 3: Cross multiply
    11,018x = 15,204.69 × 5,982.23
  4. Step 4: Simplify right side
    11,018x = 90,957,952.66
  5. Step 5: Solve for x
    x = 90,957,952.66/11,018
  6. Step 6: Final answer
    x = 8,255.40

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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.