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Finding the Fourth Proportional to 7,663.38, 11,494.65 and 2,398.38

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Solution

The fourth proportional to 7,663.38, 11,494.65 and 2,398.38 is: 3,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.38 : 11,494.65 = 2,398.38 : x
  2. Step 2: Convert to fraction form
    7,663.38/11,494.65 = 2,398.38/x
  3. Step 3: Cross multiply
    7,663.38x = 11,494.65 × 2,398.38
  4. Step 4: Simplify right side
    7,663.38x = 27,568,538.67
  5. Step 5: Solve for x
    x = 27,568,538.67/7,663.38
  6. Step 6: Final answer
    x = 3,597.44

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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.