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Finding the Fourth Proportional to 11,144.76, 15,379.30 and 6,665.86

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Solution

The fourth proportional to 11,144.76, 15,379.30 and 6,665.86 is: 9,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.76 : 15,379.30 = 6,665.86 : x
  2. Step 2: Convert to fraction form
    11,144.76/15,379.30 = 6,665.86/x
  3. Step 3: Cross multiply
    11,144.76x = 15,379.30 × 6,665.86
  4. Step 4: Simplify right side
    11,144.76x = 102,516,288.25
  5. Step 5: Solve for x
    x = 102,516,288.25/11,144.76
  6. Step 6: Final answer
    x = 9,198.61

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