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Finding the Fourth Proportional to 11,221.98, 16,835.88 and 8,063.12

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Solution

The fourth proportional to 11,221.98, 16,835.88 and 8,063.12 is: 12,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.98 : 16,835.88 = 8,063.12 : x
  2. Step 2: Convert to fraction form
    11,221.98/16,835.88 = 8,063.12/x
  3. Step 3: Cross multiply
    11,221.98x = 16,835.88 × 8,063.12
  4. Step 4: Simplify right side
    11,221.98x = 135,749,720.75
  5. Step 5: Solve for x
    x = 135,749,720.75/11,221.98
  6. Step 6: Final answer
    x = 12,096.77

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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.