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Finding the Fourth Proportional to 7,266.39, 10,026.49 and 4,079.85

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Solution

The fourth proportional to 7,266.39, 10,026.49 and 4,079.85 is: 5,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.39 : 10,026.49 = 4,079.85 : x
  2. Step 2: Convert to fraction form
    7,266.39/10,026.49 = 4,079.85/x
  3. Step 3: Cross multiply
    7,266.39x = 10,026.49 × 4,079.85
  4. Step 4: Simplify right side
    7,266.39x = 40,906,575.23
  5. Step 5: Solve for x
    x = 40,906,575.23/7,266.39
  6. Step 6: Final answer
    x = 5,629.56

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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.