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Finding the Fourth Proportional to 10,923, 15,073.74 and 5,955

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Solution

The fourth proportional to 10,923, 15,073.74 and 5,955 is: 8,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923 : 15,073.74 = 5,955 : x
  2. Step 2: Convert to fraction form
    10,923/15,073.74 = 5,955/x
  3. Step 3: Cross multiply
    10,923x = 15,073.74 × 5,955
  4. Step 4: Simplify right side
    10,923x = 89,764,121.70
  5. Step 5: Solve for x
    x = 89,764,121.70/10,923
  6. Step 6: Final answer
    x = 8,217.90

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Why These Related Problems?

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