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Finding the Fourth Proportional to 10,988.24, 15,163.78 and 5,952.47

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Solution

The fourth proportional to 10,988.24, 15,163.78 and 5,952.47 is: 8,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.24 : 15,163.78 = 5,952.47 : x
  2. Step 2: Convert to fraction form
    10,988.24/15,163.78 = 5,952.47/x
  3. Step 3: Cross multiply
    10,988.24x = 15,163.78 × 5,952.47
  4. Step 4: Simplify right side
    10,988.24x = 90,261,945.54
  5. Step 5: Solve for x
    x = 90,261,945.54/10,988.24
  6. Step 6: Final answer
    x = 8,214.41

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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.