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Finding the Fourth Proportional to 10,751.70, 16,129.60 and 3,731.44

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Solution

The fourth proportional to 10,751.70, 16,129.60 and 3,731.44 is: 5,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.70 : 16,129.60 = 3,731.44 : x
  2. Step 2: Convert to fraction form
    10,751.70/16,129.60 = 3,731.44/x
  3. Step 3: Cross multiply
    10,751.70x = 16,129.60 × 3,731.44
  4. Step 4: Simplify right side
    10,751.70x = 60,186,634.62
  5. Step 5: Solve for x
    x = 60,186,634.62/10,751.70
  6. Step 6: Final answer
    x = 5,597.87

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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.