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Finding the Fourth Proportional to 11,302.22, 16,951.86 and 2,982.86

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Solution

The fourth proportional to 11,302.22, 16,951.86 and 2,982.86 is: 4,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.22 : 16,951.86 = 2,982.86 : x
  2. Step 2: Convert to fraction form
    11,302.22/16,951.86 = 2,982.86/x
  3. Step 3: Cross multiply
    11,302.22x = 16,951.86 × 2,982.86
  4. Step 4: Simplify right side
    11,302.22x = 50,564,940.36
  5. Step 5: Solve for x
    x = 50,564,940.36/11,302.22
  6. Step 6: Final answer
    x = 4,473.90

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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.