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Finding the Fourth Proportional to 11,299.50, 16,941.96 and 3,900.15

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Solution

The fourth proportional to 11,299.50, 16,941.96 and 3,900.15 is: 5,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.50 : 16,941.96 = 3,900.15 : x
  2. Step 2: Convert to fraction form
    11,299.50/16,941.96 = 3,900.15/x
  3. Step 3: Cross multiply
    11,299.50x = 16,941.96 × 3,900.15
  4. Step 4: Simplify right side
    11,299.50x = 66,076,185.29
  5. Step 5: Solve for x
    x = 66,076,185.29/11,299.50
  6. Step 6: Final answer
    x = 5,847.71

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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.