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Finding the Fourth Proportional to 11,369.70, 17,029.86 and 5,514

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Solution

The fourth proportional to 11,369.70, 17,029.86 and 5,514 is: 8,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.70 : 17,029.86 = 5,514 : x
  2. Step 2: Convert to fraction form
    11,369.70/17,029.86 = 5,514/x
  3. Step 3: Cross multiply
    11,369.70x = 17,029.86 × 5,514
  4. Step 4: Simplify right side
    11,369.70x = 93,902,648.04
  5. Step 5: Solve for x
    x = 93,902,648.04/11,369.70
  6. Step 6: Final answer
    x = 8,259.03

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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.