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Finding the Fourth Proportional to 11,026.34, 16,540.05 and 3,234.50

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Solution

The fourth proportional to 11,026.34, 16,540.05 and 3,234.50 is: 4,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.34 : 16,540.05 = 3,234.50 : x
  2. Step 2: Convert to fraction form
    11,026.34/16,540.05 = 3,234.50/x
  3. Step 3: Cross multiply
    11,026.34x = 16,540.05 × 3,234.50
  4. Step 4: Simplify right side
    11,026.34x = 53,498,791.73
  5. Step 5: Solve for x
    x = 53,498,791.73/11,026.34
  6. Step 6: Final answer
    x = 4,851.91

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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.