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Finding the Fourth Proportional to 10,756.70, 16,137.10 and 3,736.44

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Solution

The fourth proportional to 10,756.70, 16,137.10 and 3,736.44 is: 5,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.70 : 16,137.10 = 3,736.44 : x
  2. Step 2: Convert to fraction form
    10,756.70/16,137.10 = 3,736.44/x
  3. Step 3: Cross multiply
    10,756.70x = 16,137.10 × 3,736.44
  4. Step 4: Simplify right side
    10,756.70x = 60,295,305.92
  5. Step 5: Solve for x
    x = 60,295,305.92/10,756.70
  6. Step 6: Final answer
    x = 5,605.37

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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.