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Finding the Fourth Proportional to 7,223.38, 9,968.26 and 3,911.38

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Solution

The fourth proportional to 7,223.38, 9,968.26 and 3,911.38 is: 5,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.38 : 9,968.26 = 3,911.38 : x
  2. Step 2: Convert to fraction form
    7,223.38/9,968.26 = 3,911.38/x
  3. Step 3: Cross multiply
    7,223.38x = 9,968.26 × 3,911.38
  4. Step 4: Simplify right side
    7,223.38x = 38,989,652.80
  5. Step 5: Solve for x
    x = 38,989,652.80/7,223.38
  6. Step 6: Final answer
    x = 5,397.70

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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.