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Finding the Fourth Proportional to 11,234.40, 16,844.40 and 4,663.20

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Solution

The fourth proportional to 11,234.40, 16,844.40 and 4,663.20 is: 6,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.40 : 16,844.40 = 4,663.20 : x
  2. Step 2: Convert to fraction form
    11,234.40/16,844.40 = 4,663.20/x
  3. Step 3: Cross multiply
    11,234.40x = 16,844.40 × 4,663.20
  4. Step 4: Simplify right side
    11,234.40x = 78,548,806.08
  5. Step 5: Solve for x
    x = 78,548,806.08/11,234.40
  6. Step 6: Final answer
    x = 6,991.81

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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.