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Finding the Fourth Proportional to 11,803.86, 17,709.89 and 5,234.65

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Solution

The fourth proportional to 11,803.86, 17,709.89 and 5,234.65 is: 7,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.86 : 17,709.89 = 5,234.65 : x
  2. Step 2: Convert to fraction form
    11,803.86/17,709.89 = 5,234.65/x
  3. Step 3: Cross multiply
    11,803.86x = 17,709.89 × 5,234.65
  4. Step 4: Simplify right side
    11,803.86x = 92,705,005.24
  5. Step 5: Solve for x
    x = 92,705,005.24/11,803.86
  6. Step 6: Final answer
    x = 7,853.79

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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.