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Finding the Fourth Proportional to 11,539.69, 17,311.97 and 3,749.11

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Solution

The fourth proportional to 11,539.69, 17,311.97 and 3,749.11 is: 5,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.69 : 17,311.97 = 3,749.11 : x
  2. Step 2: Convert to fraction form
    11,539.69/17,311.97 = 3,749.11/x
  3. Step 3: Cross multiply
    11,539.69x = 17,311.97 × 3,749.11
  4. Step 4: Simplify right side
    11,539.69x = 64,904,445.94
  5. Step 5: Solve for x
    x = 64,904,445.94/11,539.69
  6. Step 6: Final answer
    x = 5,624.45

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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.