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Finding the Fourth Proportional to 11,808.91, 17,703.31 and 5,231.50

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Solution

The fourth proportional to 11,808.91, 17,703.31 and 5,231.50 is: 7,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.91 : 17,703.31 = 5,231.50 : x
  2. Step 2: Convert to fraction form
    11,808.91/17,703.31 = 5,231.50/x
  3. Step 3: Cross multiply
    11,808.91x = 17,703.31 × 5,231.50
  4. Step 4: Simplify right side
    11,808.91x = 92,614,918.32
  5. Step 5: Solve for x
    x = 92,614,918.32/11,808.91
  6. Step 6: Final answer
    x = 7,842.80

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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.