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Finding the Fourth Proportional to 7,074.81, 10,611.90 and 2,144.43

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Solution

The fourth proportional to 7,074.81, 10,611.90 and 2,144.43 is: 3,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.81 : 10,611.90 = 2,144.43 : x
  2. Step 2: Convert to fraction form
    7,074.81/10,611.90 = 2,144.43/x
  3. Step 3: Cross multiply
    7,074.81x = 10,611.90 × 2,144.43
  4. Step 4: Simplify right side
    7,074.81x = 22,756,476.72
  5. Step 5: Solve for x
    x = 22,756,476.72/7,074.81
  6. Step 6: Final answer
    x = 3,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.