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Finding the Fourth Proportional to 8,319.50, 12,469.22 and 3,050.25

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Solution

The fourth proportional to 8,319.50, 12,469.22 and 3,050.25 is: 4,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.50 : 12,469.22 = 3,050.25 : x
  2. Step 2: Convert to fraction form
    8,319.50/12,469.22 = 3,050.25/x
  3. Step 3: Cross multiply
    8,319.50x = 12,469.22 × 3,050.25
  4. Step 4: Simplify right side
    8,319.50x = 38,034,238.31
  5. Step 5: Solve for x
    x = 38,034,238.31/8,319.50
  6. Step 6: Final answer
    x = 4,571.70

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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.