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Finding the Fourth Proportional to 10,412.62, 15,608.40 and 3,834.20

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Solution

The fourth proportional to 10,412.62, 15,608.40 and 3,834.20 is: 5,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.62 : 15,608.40 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    10,412.62/15,608.40 = 3,834.20/x
  3. Step 3: Cross multiply
    10,412.62x = 15,608.40 × 3,834.20
  4. Step 4: Simplify right side
    10,412.62x = 59,845,751.92
  5. Step 5: Solve for x
    x = 59,845,751.92/10,412.62
  6. Step 6: Final answer
    x = 5,747.43

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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.