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Finding the Fourth Proportional to 11,803.85, 17,709.87 and 5,234.66

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Solution

The fourth proportional to 11,803.85, 17,709.87 and 5,234.66 is: 7,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.85 : 17,709.87 = 5,234.66 : x
  2. Step 2: Convert to fraction form
    11,803.85/17,709.87 = 5,234.66/x
  3. Step 3: Cross multiply
    11,803.85x = 17,709.87 × 5,234.66
  4. Step 4: Simplify right side
    11,803.85x = 92,705,059.54
  5. Step 5: Solve for x
    x = 92,705,059.54/11,803.85
  6. Step 6: Final answer
    x = 7,853.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.