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Finding the Fourth Proportional to 11,221.72, 16,830.42 and 3,825.52

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Solution

The fourth proportional to 11,221.72, 16,830.42 and 3,825.52 is: 5,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.72 : 16,830.42 = 3,825.52 : x
  2. Step 2: Convert to fraction form
    11,221.72/16,830.42 = 3,825.52/x
  3. Step 3: Cross multiply
    11,221.72x = 16,830.42 × 3,825.52
  4. Step 4: Simplify right side
    11,221.72x = 64,385,108.32
  5. Step 5: Solve for x
    x = 64,385,108.32/11,221.72
  6. Step 6: Final answer
    x = 5,737.54

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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.