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Finding the Fourth Proportional to 11,487.39, 17,230.68 and 3,696

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Solution

The fourth proportional to 11,487.39, 17,230.68 and 3,696 is: 5,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.39 : 17,230.68 = 3,696 : x
  2. Step 2: Convert to fraction form
    11,487.39/17,230.68 = 3,696/x
  3. Step 3: Cross multiply
    11,487.39x = 17,230.68 × 3,696
  4. Step 4: Simplify right side
    11,487.39x = 63,684,593.28
  5. Step 5: Solve for x
    x = 63,684,593.28/11,487.39
  6. Step 6: Final answer
    x = 5,543.87

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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.