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Finding the Fourth Proportional to 11,517, 17,276.46 and 3,309

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Solution

The fourth proportional to 11,517, 17,276.46 and 3,309 is: 4,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 17,276.46 = 3,309 : x
  2. Step 2: Convert to fraction form
    11,517/17,276.46 = 3,309/x
  3. Step 3: Cross multiply
    11,517x = 17,276.46 × 3,309
  4. Step 4: Simplify right side
    11,517x = 57,167,806.14
  5. Step 5: Solve for x
    x = 57,167,806.14/11,517
  6. Step 6: Final answer
    x = 4,963.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.