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Finding the Fourth Proportional to 11,172.20, 15,416.73 and 6,456.78

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Solution

The fourth proportional to 11,172.20, 15,416.73 and 6,456.78 is: 8,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.20 : 15,416.73 = 6,456.78 : x
  2. Step 2: Convert to fraction form
    11,172.20/15,416.73 = 6,456.78/x
  3. Step 3: Cross multiply
    11,172.20x = 15,416.73 × 6,456.78
  4. Step 4: Simplify right side
    11,172.20x = 99,542,433.93
  5. Step 5: Solve for x
    x = 99,542,433.93/11,172.20
  6. Step 6: Final answer
    x = 8,909.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.