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Finding the Fourth Proportional to 7,663.68, 11,496.33 and 3,279.96

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Solution

The fourth proportional to 7,663.68, 11,496.33 and 3,279.96 is: 4,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.68 : 11,496.33 = 3,279.96 : x
  2. Step 2: Convert to fraction form
    7,663.68/11,496.33 = 3,279.96/x
  3. Step 3: Cross multiply
    7,663.68x = 11,496.33 × 3,279.96
  4. Step 4: Simplify right side
    7,663.68x = 37,707,502.55
  5. Step 5: Solve for x
    x = 37,707,502.55/7,663.68
  6. Step 6: Final answer
    x = 4,920.29

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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.