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Finding the Fourth Proportional to 11,944.11, 16,477.98 and 8,161.20

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Solution

The fourth proportional to 11,944.11, 16,477.98 and 8,161.20 is: 11,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.11 : 16,477.98 = 8,161.20 : x
  2. Step 2: Convert to fraction form
    11,944.11/16,477.98 = 8,161.20/x
  3. Step 3: Cross multiply
    11,944.11x = 16,477.98 × 8,161.20
  4. Step 4: Simplify right side
    11,944.11x = 134,480,090.38
  5. Step 5: Solve for x
    x = 134,480,090.38/11,944.11
  6. Step 6: Final answer
    x = 11,259.11

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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.