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Finding the Fourth Proportional to 8,189.46, 12,282.06 and 2,344.71

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Solution

The fourth proportional to 8,189.46, 12,282.06 and 2,344.71 is: 3,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.46 : 12,282.06 = 2,344.71 : x
  2. Step 2: Convert to fraction form
    8,189.46/12,282.06 = 2,344.71/x
  3. Step 3: Cross multiply
    8,189.46x = 12,282.06 × 2,344.71
  4. Step 4: Simplify right side
    8,189.46x = 28,797,868.90
  5. Step 5: Solve for x
    x = 28,797,868.90/8,189.46
  6. Step 6: Final answer
    x = 3,516.46

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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.