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Finding the Fourth Proportional to 10,908.74, 16,363.48 and 3,011.84

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Solution

The fourth proportional to 10,908.74, 16,363.48 and 3,011.84 is: 4,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.74 : 16,363.48 = 3,011.84 : x
  2. Step 2: Convert to fraction form
    10,908.74/16,363.48 = 3,011.84/x
  3. Step 3: Cross multiply
    10,908.74x = 16,363.48 × 3,011.84
  4. Step 4: Simplify right side
    10,908.74x = 49,284,183.60
  5. Step 5: Solve for x
    x = 49,284,183.60/10,908.74
  6. Step 6: Final answer
    x = 4,517.86

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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.