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Finding the Fourth Proportional to 8,711.70, 13,064.43 and 3,163.62

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Solution

The fourth proportional to 8,711.70, 13,064.43 and 3,163.62 is: 4,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.70 : 13,064.43 = 3,163.62 : x
  2. Step 2: Convert to fraction form
    8,711.70/13,064.43 = 3,163.62/x
  3. Step 3: Cross multiply
    8,711.70x = 13,064.43 × 3,163.62
  4. Step 4: Simplify right side
    8,711.70x = 41,330,892.04
  5. Step 5: Solve for x
    x = 41,330,892.04/8,711.70
  6. Step 6: Final answer
    x = 4,744.30

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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.