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Finding the Fourth Proportional to 10,469.13, 15,706.41 and 3,450.21

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Solution

The fourth proportional to 10,469.13, 15,706.41 and 3,450.21 is: 5,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.13 : 15,706.41 = 3,450.21 : x
  2. Step 2: Convert to fraction form
    10,469.13/15,706.41 = 3,450.21/x
  3. Step 3: Cross multiply
    10,469.13x = 15,706.41 × 3,450.21
  4. Step 4: Simplify right side
    10,469.13x = 54,190,412.85
  5. Step 5: Solve for x
    x = 54,190,412.85/10,469.13
  6. Step 6: Final answer
    x = 5,176.21

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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.