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Finding the Fourth Proportional to 7,630.89, 11,453.74 and 3,684.94

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Solution

The fourth proportional to 7,630.89, 11,453.74 and 3,684.94 is: 5,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.89 : 11,453.74 = 3,684.94 : x
  2. Step 2: Convert to fraction form
    7,630.89/11,453.74 = 3,684.94/x
  3. Step 3: Cross multiply
    7,630.89x = 11,453.74 × 3,684.94
  4. Step 4: Simplify right side
    7,630.89x = 42,206,344.68
  5. Step 5: Solve for x
    x = 42,206,344.68/7,630.89
  6. Step 6: Final answer
    x = 5,530.99

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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.