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Finding the Fourth Proportional to 11,805.29, 17,710.99 and 5,229.91

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Solution

The fourth proportional to 11,805.29, 17,710.99 and 5,229.91 is: 7,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.29 : 17,710.99 = 5,229.91 : x
  2. Step 2: Convert to fraction form
    11,805.29/17,710.99 = 5,229.91/x
  3. Step 3: Cross multiply
    11,805.29x = 17,710.99 × 5,229.91
  4. Step 4: Simplify right side
    11,805.29x = 92,626,826.36
  5. Step 5: Solve for x
    x = 92,626,826.36/11,805.29
  6. Step 6: Final answer
    x = 7,846.22

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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.