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Finding the Fourth Proportional to 11,281.72, 16,922.70 and 3,073.72

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Solution

The fourth proportional to 11,281.72, 16,922.70 and 3,073.72 is: 4,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.72 : 16,922.70 = 3,073.72 : x
  2. Step 2: Convert to fraction form
    11,281.72/16,922.70 = 3,073.72/x
  3. Step 3: Cross multiply
    11,281.72x = 16,922.70 × 3,073.72
  4. Step 4: Simplify right side
    11,281.72x = 52,015,641.44
  5. Step 5: Solve for x
    x = 52,015,641.44/11,281.72
  6. Step 6: Final answer
    x = 4,610.61

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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.