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Finding the Fourth Proportional to 11,183.19, 16,776 and 4,940.52

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Solution

The fourth proportional to 11,183.19, 16,776 and 4,940.52 is: 7,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183.19 : 16,776 = 4,940.52 : x
  2. Step 2: Convert to fraction form
    11,183.19/16,776 = 4,940.52/x
  3. Step 3: Cross multiply
    11,183.19x = 16,776 × 4,940.52
  4. Step 4: Simplify right side
    11,183.19x = 82,882,163.52
  5. Step 5: Solve for x
    x = 82,882,163.52/11,183.19
  6. Step 6: Final answer
    x = 7,411.32

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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.