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Finding the Fourth Proportional to 11,353.46, 17,031.90 and 3,561.50

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Solution

The fourth proportional to 11,353.46, 17,031.90 and 3,561.50 is: 5,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.46 : 17,031.90 = 3,561.50 : x
  2. Step 2: Convert to fraction form
    11,353.46/17,031.90 = 3,561.50/x
  3. Step 3: Cross multiply
    11,353.46x = 17,031.90 × 3,561.50
  4. Step 4: Simplify right side
    11,353.46x = 60,659,111.85
  5. Step 5: Solve for x
    x = 60,659,111.85/11,353.46
  6. Step 6: Final answer
    x = 5,342.79

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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.