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Finding the Fourth Proportional to 8,212.64, 12,319.19 and 2,369.25

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Solution

The fourth proportional to 8,212.64, 12,319.19 and 2,369.25 is: 3,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.64 : 12,319.19 = 2,369.25 : x
  2. Step 2: Convert to fraction form
    8,212.64/12,319.19 = 2,369.25/x
  3. Step 3: Cross multiply
    8,212.64x = 12,319.19 × 2,369.25
  4. Step 4: Simplify right side
    8,212.64x = 29,187,237.95
  5. Step 5: Solve for x
    x = 29,187,237.95/8,212.64
  6. Step 6: Final answer
    x = 3,553.94

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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.