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Finding the Fourth Proportional to 10,811.97, 16,212.42 and 4,963.50

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Solution

The fourth proportional to 10,811.97, 16,212.42 and 4,963.50 is: 7,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.97 : 16,212.42 = 4,963.50 : x
  2. Step 2: Convert to fraction form
    10,811.97/16,212.42 = 4,963.50/x
  3. Step 3: Cross multiply
    10,811.97x = 16,212.42 × 4,963.50
  4. Step 4: Simplify right side
    10,811.97x = 80,470,346.67
  5. Step 5: Solve for x
    x = 80,470,346.67/10,811.97
  6. Step 6: Final answer
    x = 7,442.71

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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.