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Finding the Fourth Proportional to 11,540, 17,317.68 and 4,244

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Solution

The fourth proportional to 11,540, 17,317.68 and 4,244 is: 6,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540 : 17,317.68 = 4,244 : x
  2. Step 2: Convert to fraction form
    11,540/17,317.68 = 4,244/x
  3. Step 3: Cross multiply
    11,540x = 17,317.68 × 4,244
  4. Step 4: Simplify right side
    11,540x = 73,496,233.92
  5. Step 5: Solve for x
    x = 73,496,233.92/11,540
  6. Step 6: Final answer
    x = 6,368.82

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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.