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Finding the Fourth Proportional to 8,212.38, 12,319.78 and 3,017.84

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Solution

The fourth proportional to 8,212.38, 12,319.78 and 3,017.84 is: 4,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.38 : 12,319.78 = 3,017.84 : x
  2. Step 2: Convert to fraction form
    8,212.38/12,319.78 = 3,017.84/x
  3. Step 3: Cross multiply
    8,212.38x = 12,319.78 × 3,017.84
  4. Step 4: Simplify right side
    8,212.38x = 37,179,124.88
  5. Step 5: Solve for x
    x = 37,179,124.88/8,212.38
  6. Step 6: Final answer
    x = 4,527.20

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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.