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Finding the Fourth Proportional to 7,663.12, 11,491.32 and 2,396.68

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Solution

The fourth proportional to 7,663.12, 11,491.32 and 2,396.68 is: 3,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.12 : 11,491.32 = 2,396.68 : x
  2. Step 2: Convert to fraction form
    7,663.12/11,491.32 = 2,396.68/x
  3. Step 3: Cross multiply
    7,663.12x = 11,491.32 × 2,396.68
  4. Step 4: Simplify right side
    7,663.12x = 27,541,016.82
  5. Step 5: Solve for x
    x = 27,541,016.82/7,663.12
  6. Step 6: Final answer
    x = 3,593.97

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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.