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Finding the Fourth Proportional to 10,411.40, 15,611.70 and 3,834.20

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Solution

The fourth proportional to 10,411.40, 15,611.70 and 3,834.20 is: 5,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.40 : 15,611.70 = 3,834.20 : x
  2. Step 2: Convert to fraction form
    10,411.40/15,611.70 = 3,834.20/x
  3. Step 3: Cross multiply
    10,411.40x = 15,611.70 × 3,834.20
  4. Step 4: Simplify right side
    10,411.40x = 59,858,380.14
  5. Step 5: Solve for x
    x = 59,858,380.14/10,411.40
  6. Step 6: Final answer
    x = 5,749.31

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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.