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Finding the Fourth Proportional to 7,931.28, 11,898.78 and 4,231.56

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Solution

The fourth proportional to 7,931.28, 11,898.78 and 4,231.56 is: 6,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.28 : 11,898.78 = 4,231.56 : x
  2. Step 2: Convert to fraction form
    7,931.28/11,898.78 = 4,231.56/x
  3. Step 3: Cross multiply
    7,931.28x = 11,898.78 × 4,231.56
  4. Step 4: Simplify right side
    7,931.28x = 50,350,401.50
  5. Step 5: Solve for x
    x = 50,350,401.50/7,931.28
  6. Step 6: Final answer
    x = 6,348.33

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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.