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Finding the Fourth Proportional to 7,915, 11,872.44 and 3,234

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Solution

The fourth proportional to 7,915, 11,872.44 and 3,234 is: 4,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915 : 11,872.44 = 3,234 : x
  2. Step 2: Convert to fraction form
    7,915/11,872.44 = 3,234/x
  3. Step 3: Cross multiply
    7,915x = 11,872.44 × 3,234
  4. Step 4: Simplify right side
    7,915x = 38,395,470.96
  5. Step 5: Solve for x
    x = 38,395,470.96/7,915
  6. Step 6: Final answer
    x = 4,850.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.