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Finding the Fourth Proportional to 7,331.74, 10,115.42 and 4,144.73

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Solution

The fourth proportional to 7,331.74, 10,115.42 and 4,144.73 is: 5,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.74 : 10,115.42 = 4,144.73 : x
  2. Step 2: Convert to fraction form
    7,331.74/10,115.42 = 4,144.73/x
  3. Step 3: Cross multiply
    7,331.74x = 10,115.42 × 4,144.73
  4. Step 4: Simplify right side
    7,331.74x = 41,925,669.81
  5. Step 5: Solve for x
    x = 41,925,669.81/7,331.74
  6. Step 6: Final answer
    x = 5,718.38

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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.