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Finding the Fourth Proportional to 7,418.38, 10,237.38 and 4,061.22

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Solution

The fourth proportional to 7,418.38, 10,237.38 and 4,061.22 is: 5,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.38 : 10,237.38 = 4,061.22 : x
  2. Step 2: Convert to fraction form
    7,418.38/10,237.38 = 4,061.22/x
  3. Step 3: Cross multiply
    7,418.38x = 10,237.38 × 4,061.22
  4. Step 4: Simplify right side
    7,418.38x = 41,576,252.40
  5. Step 5: Solve for x
    x = 41,576,252.40/7,418.38
  6. Step 6: Final answer
    x = 5,604.49

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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.