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Finding the Fourth Proportional to 8,237.09, 12,344.90 and 7,194.62

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Solution

The fourth proportional to 8,237.09, 12,344.90 and 7,194.62 is: 10,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.09 : 12,344.90 = 7,194.62 : x
  2. Step 2: Convert to fraction form
    8,237.09/12,344.90 = 7,194.62/x
  3. Step 3: Cross multiply
    8,237.09x = 12,344.90 × 7,194.62
  4. Step 4: Simplify right side
    8,237.09x = 88,816,766.74
  5. Step 5: Solve for x
    x = 88,816,766.74/8,237.09
  6. Step 6: Final answer
    x = 10,782.55

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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.