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Finding the Fourth Proportional to 11,026.92, 16,542 and 3,234.72

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Solution

The fourth proportional to 11,026.92, 16,542 and 3,234.72 is: 4,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.92 : 16,542 = 3,234.72 : x
  2. Step 2: Convert to fraction form
    11,026.92/16,542 = 3,234.72/x
  3. Step 3: Cross multiply
    11,026.92x = 16,542 × 3,234.72
  4. Step 4: Simplify right side
    11,026.92x = 53,508,738.24
  5. Step 5: Solve for x
    x = 53,508,738.24/11,026.92
  6. Step 6: Final answer
    x = 4,852.56

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