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Finding the Fourth Proportional to 11,494, 17,243.88 and 3,286

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Solution

The fourth proportional to 11,494, 17,243.88 and 3,286 is: 4,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494 : 17,243.88 = 3,286 : x
  2. Step 2: Convert to fraction form
    11,494/17,243.88 = 3,286/x
  3. Step 3: Cross multiply
    11,494x = 17,243.88 × 3,286
  4. Step 4: Simplify right side
    11,494x = 56,663,389.68
  5. Step 5: Solve for x
    x = 56,663,389.68/11,494
  6. Step 6: Final answer
    x = 4,929.82

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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.