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Finding the Fourth Proportional to 11,586, 17,382.27 and 3,266.09

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Solution

The fourth proportional to 11,586, 17,382.27 and 3,266.09 is: 4,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 17,382.27 = 3,266.09 : x
  2. Step 2: Convert to fraction form
    11,586/17,382.27 = 3,266.09/x
  3. Step 3: Cross multiply
    11,586x = 17,382.27 × 3,266.09
  4. Step 4: Simplify right side
    11,586x = 56,772,101.68
  5. Step 5: Solve for x
    x = 56,772,101.68/11,586
  6. Step 6: Final answer
    x = 4,900.06

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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.