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Finding the Fourth Proportional to 11,073.12, 16,609.32 and 3,282

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Solution

The fourth proportional to 11,073.12, 16,609.32 and 3,282 is: 4,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.12 : 16,609.32 = 3,282 : x
  2. Step 2: Convert to fraction form
    11,073.12/16,609.32 = 3,282/x
  3. Step 3: Cross multiply
    11,073.12x = 16,609.32 × 3,282
  4. Step 4: Simplify right side
    11,073.12x = 54,511,788.24
  5. Step 5: Solve for x
    x = 54,511,788.24/11,073.12
  6. Step 6: Final answer
    x = 4,922.89

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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.