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Finding the Fourth Proportional to 10,774.50, 16,153.83 and 4,109.82

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Solution

The fourth proportional to 10,774.50, 16,153.83 and 4,109.82 is: 6,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.50 : 16,153.83 = 4,109.82 : x
  2. Step 2: Convert to fraction form
    10,774.50/16,153.83 = 4,109.82/x
  3. Step 3: Cross multiply
    10,774.50x = 16,153.83 × 4,109.82
  4. Step 4: Simplify right side
    10,774.50x = 66,389,333.61
  5. Step 5: Solve for x
    x = 66,389,333.61/10,774.50
  6. Step 6: Final answer
    x = 6,161.71

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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.