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Finding the Fourth Proportional to 11,226.50, 16,836.08 and 5,302.46

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Solution

The fourth proportional to 11,226.50, 16,836.08 and 5,302.46 is: 7,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.50 : 16,836.08 = 5,302.46 : x
  2. Step 2: Convert to fraction form
    11,226.50/16,836.08 = 5,302.46/x
  3. Step 3: Cross multiply
    11,226.50x = 16,836.08 × 5,302.46
  4. Step 4: Simplify right side
    11,226.50x = 89,272,640.76
  5. Step 5: Solve for x
    x = 89,272,640.76/11,226.50
  6. Step 6: Final answer
    x = 7,951.96

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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.