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Finding the Fourth Proportional to 11,514.70, 17,269.50 and 4,119.66

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Solution

The fourth proportional to 11,514.70, 17,269.50 and 4,119.66 is: 6,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.70 : 17,269.50 = 4,119.66 : x
  2. Step 2: Convert to fraction form
    11,514.70/17,269.50 = 4,119.66/x
  3. Step 3: Cross multiply
    11,514.70x = 17,269.50 × 4,119.66
  4. Step 4: Simplify right side
    11,514.70x = 71,144,468.37
  5. Step 5: Solve for x
    x = 71,144,468.37/11,514.70
  6. Step 6: Final answer
    x = 6,178.58

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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.