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Finding the Fourth Proportional to 11,722.86, 17,578.62 and 4,330.80

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Solution

The fourth proportional to 11,722.86, 17,578.62 and 4,330.80 is: 6,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.86 : 17,578.62 = 4,330.80 : x
  2. Step 2: Convert to fraction form
    11,722.86/17,578.62 = 4,330.80/x
  3. Step 3: Cross multiply
    11,722.86x = 17,578.62 × 4,330.80
  4. Step 4: Simplify right side
    11,722.86x = 76,129,487.50
  5. Step 5: Solve for x
    x = 76,129,487.50/11,722.86
  6. Step 6: Final answer
    x = 6,494.11

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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.