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Finding the Fourth Proportional to 7,662.47, 11,491.20 and 2,467.13

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Solution

The fourth proportional to 7,662.47, 11,491.20 and 2,467.13 is: 3,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.47 : 11,491.20 = 2,467.13 : x
  2. Step 2: Convert to fraction form
    7,662.47/11,491.20 = 2,467.13/x
  3. Step 3: Cross multiply
    7,662.47x = 11,491.20 × 2,467.13
  4. Step 4: Simplify right side
    7,662.47x = 28,350,226.80
  5. Step 5: Solve for x
    x = 28,350,226.80/7,662.47
  6. Step 6: Final answer
    x = 3,699.88

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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.