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Finding the Fourth Proportional to 10,611.14, 15,921.22 and 5,679.50

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Solution

The fourth proportional to 10,611.14, 15,921.22 and 5,679.50 is: 8,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.14 : 15,921.22 = 5,679.50 : x
  2. Step 2: Convert to fraction form
    10,611.14/15,921.22 = 5,679.50/x
  3. Step 3: Cross multiply
    10,611.14x = 15,921.22 × 5,679.50
  4. Step 4: Simplify right side
    10,611.14x = 90,424,568.99
  5. Step 5: Solve for x
    x = 90,424,568.99/10,611.14
  6. Step 6: Final answer
    x = 8,521.66

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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.