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Finding the Fourth Proportional to 12,611.62, 17,404.50 and 7,834.20

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Solution

The fourth proportional to 12,611.62, 17,404.50 and 7,834.20 is: 10,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.62 : 17,404.50 = 7,834.20 : x
  2. Step 2: Convert to fraction form
    12,611.62/17,404.50 = 7,834.20/x
  3. Step 3: Cross multiply
    12,611.62x = 17,404.50 × 7,834.20
  4. Step 4: Simplify right side
    12,611.62x = 136,350,253.94
  5. Step 5: Solve for x
    x = 136,350,253.94/12,611.62
  6. Step 6: Final answer
    x = 10,811.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.