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Finding the Fourth Proportional to 7,405.20, 11,105.10 and 3,706.20

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Solution

The fourth proportional to 7,405.20, 11,105.10 and 3,706.20 is: 5,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.20 : 11,105.10 = 3,706.20 : x
  2. Step 2: Convert to fraction form
    7,405.20/11,105.10 = 3,706.20/x
  3. Step 3: Cross multiply
    7,405.20x = 11,105.10 × 3,706.20
  4. Step 4: Simplify right side
    7,405.20x = 41,157,721.62
  5. Step 5: Solve for x
    x = 41,157,721.62/7,405.20
  6. Step 6: Final answer
    x = 5,557.95

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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.