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Finding the Fourth Proportional to 11,293.52, 16,944.60 and 5,449.64

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Solution

The fourth proportional to 11,293.52, 16,944.60 and 5,449.64 is: 8,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.52 : 16,944.60 = 5,449.64 : x
  2. Step 2: Convert to fraction form
    11,293.52/16,944.60 = 5,449.64/x
  3. Step 3: Cross multiply
    11,293.52x = 16,944.60 × 5,449.64
  4. Step 4: Simplify right side
    11,293.52x = 92,341,969.94
  5. Step 5: Solve for x
    x = 92,341,969.94/11,293.52
  6. Step 6: Final answer
    x = 8,176.54

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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.