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Finding the Fourth Proportional to 10,993.24, 16,483.92 and 5,144.50

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Solution

The fourth proportional to 10,993.24, 16,483.92 and 5,144.50 is: 7,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.24 : 16,483.92 = 5,144.50 : x
  2. Step 2: Convert to fraction form
    10,993.24/16,483.92 = 5,144.50/x
  3. Step 3: Cross multiply
    10,993.24x = 16,483.92 × 5,144.50
  4. Step 4: Simplify right side
    10,993.24x = 84,801,526.44
  5. Step 5: Solve for x
    x = 84,801,526.44/10,993.24
  6. Step 6: Final answer
    x = 7,713.97

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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.