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Finding the Fourth Proportional to 11,201.76, 16,806.96 and 4,958.64

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Solution

The fourth proportional to 11,201.76, 16,806.96 and 4,958.64 is: 7,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.76 : 16,806.96 = 4,958.64 : x
  2. Step 2: Convert to fraction form
    11,201.76/16,806.96 = 4,958.64/x
  3. Step 3: Cross multiply
    11,201.76x = 16,806.96 × 4,958.64
  4. Step 4: Simplify right side
    11,201.76x = 83,339,664.13
  5. Step 5: Solve for x
    x = 83,339,664.13/11,201.76
  6. Step 6: Final answer
    x = 7,439.87

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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.