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Finding the Fourth Proportional to 11,201.22, 15,458.85 and 8,401.86

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Solution

The fourth proportional to 11,201.22, 15,458.85 and 8,401.86 is: 11,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.22 : 15,458.85 = 8,401.86 : x
  2. Step 2: Convert to fraction form
    11,201.22/15,458.85 = 8,401.86/x
  3. Step 3: Cross multiply
    11,201.22x = 15,458.85 × 8,401.86
  4. Step 4: Simplify right side
    11,201.22x = 129,883,093.46
  5. Step 5: Solve for x
    x = 129,883,093.46/11,201.22
  6. Step 6: Final answer
    x = 11,595.44

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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.