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Finding the Fourth Proportional to 7,408, 10,223.36 and 4,096

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Solution

The fourth proportional to 7,408, 10,223.36 and 4,096 is: 5,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408 : 10,223.36 = 4,096 : x
  2. Step 2: Convert to fraction form
    7,408/10,223.36 = 4,096/x
  3. Step 3: Cross multiply
    7,408x = 10,223.36 × 4,096
  4. Step 4: Simplify right side
    7,408x = 41,874,882.56
  5. Step 5: Solve for x
    x = 41,874,882.56/7,408
  6. Step 6: Final answer
    x = 5,652.66

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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.