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Finding the Fourth Proportional to 11,556, 17,331.10 and 3,233.86

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Solution

The fourth proportional to 11,556, 17,331.10 and 3,233.86 is: 4,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 17,331.10 = 3,233.86 : x
  2. Step 2: Convert to fraction form
    11,556/17,331.10 = 3,233.86/x
  3. Step 3: Cross multiply
    11,556x = 17,331.10 × 3,233.86
  4. Step 4: Simplify right side
    11,556x = 56,046,299.63
  5. Step 5: Solve for x
    x = 56,046,299.63/11,556
  6. Step 6: Final answer
    x = 4,849.97

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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.