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Finding the Fourth Proportional to 11,186.20, 15,428.58 and 8,201.08

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Solution

The fourth proportional to 11,186.20, 15,428.58 and 8,201.08 is: 11,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.20 : 15,428.58 = 8,201.08 : x
  2. Step 2: Convert to fraction form
    11,186.20/15,428.58 = 8,201.08/x
  3. Step 3: Cross multiply
    11,186.20x = 15,428.58 × 8,201.08
  4. Step 4: Simplify right side
    11,186.20x = 126,531,018.87
  5. Step 5: Solve for x
    x = 126,531,018.87/11,186.20
  6. Step 6: Final answer
    x = 11,311.35

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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.