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Finding the Fourth Proportional to 11,269.54, 16,906.50 and 4,343.50

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Solution

The fourth proportional to 11,269.54, 16,906.50 and 4,343.50 is: 6,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.54 : 16,906.50 = 4,343.50 : x
  2. Step 2: Convert to fraction form
    11,269.54/16,906.50 = 4,343.50/x
  3. Step 3: Cross multiply
    11,269.54x = 16,906.50 × 4,343.50
  4. Step 4: Simplify right side
    11,269.54x = 73,433,382.75
  5. Step 5: Solve for x
    x = 73,433,382.75/11,269.54
  6. Step 6: Final answer
    x = 6,516.09

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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.