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Finding the Fourth Proportional to 7,662.72, 11,491.57 and 2,467.38

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Solution

The fourth proportional to 7,662.72, 11,491.57 and 2,467.38 is: 3,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.72 : 11,491.57 = 2,467.38 : x
  2. Step 2: Convert to fraction form
    7,662.72/11,491.57 = 2,467.38/x
  3. Step 3: Cross multiply
    7,662.72x = 11,491.57 × 2,467.38
  4. Step 4: Simplify right side
    7,662.72x = 28,354,069.99
  5. Step 5: Solve for x
    x = 28,354,069.99/7,662.72
  6. Step 6: Final answer
    x = 3,700.26

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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.