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Finding the Fourth Proportional to 10,163.50, 15,245.16 and 7,944.20

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Solution

The fourth proportional to 10,163.50, 15,245.16 and 7,944.20 is: 11,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.50 : 15,245.16 = 7,944.20 : x
  2. Step 2: Convert to fraction form
    10,163.50/15,245.16 = 7,944.20/x
  3. Step 3: Cross multiply
    10,163.50x = 15,245.16 × 7,944.20
  4. Step 4: Simplify right side
    10,163.50x = 121,110,574.47
  5. Step 5: Solve for x
    x = 121,110,574.47/10,163.50
  6. Step 6: Final answer
    x = 11,916.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.