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Finding the Fourth Proportional to 10,988.22, 15,163.81 and 5,952.44

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Solution

The fourth proportional to 10,988.22, 15,163.81 and 5,952.44 is: 8,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.22 : 15,163.81 = 5,952.44 : x
  2. Step 2: Convert to fraction form
    10,988.22/15,163.81 = 5,952.44/x
  3. Step 3: Cross multiply
    10,988.22x = 15,163.81 × 5,952.44
  4. Step 4: Simplify right side
    10,988.22x = 90,261,593.38
  5. Step 5: Solve for x
    x = 90,261,593.38/10,988.22
  6. Step 6: Final answer
    x = 8,214.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.