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Finding the Fourth Proportional to 8,212.86, 12,319.74 and 2,369.31

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Solution

The fourth proportional to 8,212.86, 12,319.74 and 2,369.31 is: 3,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.86 : 12,319.74 = 2,369.31 : x
  2. Step 2: Convert to fraction form
    8,212.86/12,319.74 = 2,369.31/x
  3. Step 3: Cross multiply
    8,212.86x = 12,319.74 × 2,369.31
  4. Step 4: Simplify right side
    8,212.86x = 29,189,283.18
  5. Step 5: Solve for x
    x = 29,189,283.18/8,212.86
  6. Step 6: Final answer
    x = 3,554.09

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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.