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Finding the Fourth Proportional to 10,469.41, 15,706.04 and 3,449.84

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Solution

The fourth proportional to 10,469.41, 15,706.04 and 3,449.84 is: 5,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.41 : 15,706.04 = 3,449.84 : x
  2. Step 2: Convert to fraction form
    10,469.41/15,706.04 = 3,449.84/x
  3. Step 3: Cross multiply
    10,469.41x = 15,706.04 × 3,449.84
  4. Step 4: Simplify right side
    10,469.41x = 54,183,229.25
  5. Step 5: Solve for x
    x = 54,183,229.25/10,469.41
  6. Step 6: Final answer
    x = 5,175.39

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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.