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Finding the Fourth Proportional to 7,338.03, 10,126.20 and 3,980.78

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Solution

The fourth proportional to 7,338.03, 10,126.20 and 3,980.78 is: 5,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.03 : 10,126.20 = 3,980.78 : x
  2. Step 2: Convert to fraction form
    7,338.03/10,126.20 = 3,980.78/x
  3. Step 3: Cross multiply
    7,338.03x = 10,126.20 × 3,980.78
  4. Step 4: Simplify right side
    7,338.03x = 40,310,174.44
  5. Step 5: Solve for x
    x = 40,310,174.44/7,338.03
  6. Step 6: Final answer
    x = 5,493.32

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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.