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Finding the Fourth Proportional to 8,212.29, 12,318.16 and 2,369.49

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Solution

The fourth proportional to 8,212.29, 12,318.16 and 2,369.49 is: 3,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.29 : 12,318.16 = 2,369.49 : x
  2. Step 2: Convert to fraction form
    8,212.29/12,318.16 = 2,369.49/x
  3. Step 3: Cross multiply
    8,212.29x = 12,318.16 × 2,369.49
  4. Step 4: Simplify right side
    8,212.29x = 29,187,756.94
  5. Step 5: Solve for x
    x = 29,187,756.94/8,212.29
  6. Step 6: Final answer
    x = 3,554.16

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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.