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Finding the Fourth Proportional to 10,793.24, 16,199.10 and 4,224

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Solution

The fourth proportional to 10,793.24, 16,199.10 and 4,224 is: 6,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.24 : 16,199.10 = 4,224 : x
  2. Step 2: Convert to fraction form
    10,793.24/16,199.10 = 4,224/x
  3. Step 3: Cross multiply
    10,793.24x = 16,199.10 × 4,224
  4. Step 4: Simplify right side
    10,793.24x = 68,424,998.40
  5. Step 5: Solve for x
    x = 68,424,998.40/10,793.24
  6. Step 6: Final answer
    x = 6,339.62

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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.