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Finding the Fourth Proportional to 8,110.50, 12,170.43 and 3,430.20

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Solution

The fourth proportional to 8,110.50, 12,170.43 and 3,430.20 is: 5,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.50 : 12,170.43 = 3,430.20 : x
  2. Step 2: Convert to fraction form
    8,110.50/12,170.43 = 3,430.20/x
  3. Step 3: Cross multiply
    8,110.50x = 12,170.43 × 3,430.20
  4. Step 4: Simplify right side
    8,110.50x = 41,747,008.99
  5. Step 5: Solve for x
    x = 41,747,008.99/8,110.50
  6. Step 6: Final answer
    x = 5,147.28

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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.