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Finding the Fourth Proportional to 10,811.50, 16,211.94 and 4,235.92

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Solution

The fourth proportional to 10,811.50, 16,211.94 and 4,235.92 is: 6,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.50 : 16,211.94 = 4,235.92 : x
  2. Step 2: Convert to fraction form
    10,811.50/16,211.94 = 4,235.92/x
  3. Step 3: Cross multiply
    10,811.50x = 16,211.94 × 4,235.92
  4. Step 4: Simplify right side
    10,811.50x = 68,672,480.88
  5. Step 5: Solve for x
    x = 68,672,480.88/10,811.50
  6. Step 6: Final answer
    x = 6,351.80

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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.