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Finding the Fourth Proportional to 8,344.50, 11,515.42 and 5,200.69

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Solution

The fourth proportional to 8,344.50, 11,515.42 and 5,200.69 is: 7,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.50 : 11,515.42 = 5,200.69 : x
  2. Step 2: Convert to fraction form
    8,344.50/11,515.42 = 5,200.69/x
  3. Step 3: Cross multiply
    8,344.50x = 11,515.42 × 5,200.69
  4. Step 4: Simplify right side
    8,344.50x = 59,888,107.35
  5. Step 5: Solve for x
    x = 59,888,107.35/8,344.50
  6. Step 6: Final answer
    x = 7,176.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.