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Finding the Fourth Proportional to 11,902.62, 17,852.49 and 3,138.20

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Solution

The fourth proportional to 11,902.62, 17,852.49 and 3,138.20 is: 4,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.62 : 17,852.49 = 3,138.20 : x
  2. Step 2: Convert to fraction form
    11,902.62/17,852.49 = 3,138.20/x
  3. Step 3: Cross multiply
    11,902.62x = 17,852.49 × 3,138.20
  4. Step 4: Simplify right side
    11,902.62x = 56,024,594.86
  5. Step 5: Solve for x
    x = 56,024,594.86/11,902.62
  6. Step 6: Final answer
    x = 4,706.91

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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.