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Finding the Fourth Proportional to 10,874.69, 16,314.77 and 3,083.50

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Solution

The fourth proportional to 10,874.69, 16,314.77 and 3,083.50 is: 4,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.69 : 16,314.77 = 3,083.50 : x
  2. Step 2: Convert to fraction form
    10,874.69/16,314.77 = 3,083.50/x
  3. Step 3: Cross multiply
    10,874.69x = 16,314.77 × 3,083.50
  4. Step 4: Simplify right side
    10,874.69x = 50,306,593.30
  5. Step 5: Solve for x
    x = 50,306,593.30/10,874.69
  6. Step 6: Final answer
    x = 4,626.03

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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.