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Finding the Fourth Proportional to 11,205.92, 16,806.96 and 2,996

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Solution

The fourth proportional to 11,205.92, 16,806.96 and 2,996 is: 4,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.92 : 16,806.96 = 2,996 : x
  2. Step 2: Convert to fraction form
    11,205.92/16,806.96 = 2,996/x
  3. Step 3: Cross multiply
    11,205.92x = 16,806.96 × 2,996
  4. Step 4: Simplify right side
    11,205.92x = 50,353,652.16
  5. Step 5: Solve for x
    x = 50,353,652.16/11,205.92
  6. Step 6: Final answer
    x = 4,493.49

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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.