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Finding the Fourth Proportional to 8,113.70, 12,172.21 and 3,433.69

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Solution

The fourth proportional to 8,113.70, 12,172.21 and 3,433.69 is: 5,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.70 : 12,172.21 = 3,433.69 : x
  2. Step 2: Convert to fraction form
    8,113.70/12,172.21 = 3,433.69/x
  3. Step 3: Cross multiply
    8,113.70x = 12,172.21 × 3,433.69
  4. Step 4: Simplify right side
    8,113.70x = 41,795,602.39
  5. Step 5: Solve for x
    x = 41,795,602.39/8,113.70
  6. Step 6: Final answer
    x = 5,151.24

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