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Finding the Fourth Proportional to 7,138.38, 9,850.44 and 4,153.70

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Solution

The fourth proportional to 7,138.38, 9,850.44 and 4,153.70 is: 5,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.38 : 9,850.44 = 4,153.70 : x
  2. Step 2: Convert to fraction form
    7,138.38/9,850.44 = 4,153.70/x
  3. Step 3: Cross multiply
    7,138.38x = 9,850.44 × 4,153.70
  4. Step 4: Simplify right side
    7,138.38x = 40,915,772.63
  5. Step 5: Solve for x
    x = 40,915,772.63/7,138.38
  6. Step 6: Final answer
    x = 5,731.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.