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Finding the Fourth Proportional to 7,420.50, 11,132.97 and 4,299.78

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Solution

The fourth proportional to 7,420.50, 11,132.97 and 4,299.78 is: 6,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.50 : 11,132.97 = 4,299.78 : x
  2. Step 2: Convert to fraction form
    7,420.50/11,132.97 = 4,299.78/x
  3. Step 3: Cross multiply
    7,420.50x = 11,132.97 × 4,299.78
  4. Step 4: Simplify right side
    7,420.50x = 47,869,321.75
  5. Step 5: Solve for x
    x = 47,869,321.75/7,420.50
  6. Step 6: Final answer
    x = 6,450.96

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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.