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Finding the Fourth Proportional to 11,561.70, 17,344.98 and 3,769.50

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Solution

The fourth proportional to 11,561.70, 17,344.98 and 3,769.50 is: 5,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.70 : 17,344.98 = 3,769.50 : x
  2. Step 2: Convert to fraction form
    11,561.70/17,344.98 = 3,769.50/x
  3. Step 3: Cross multiply
    11,561.70x = 17,344.98 × 3,769.50
  4. Step 4: Simplify right side
    11,561.70x = 65,381,902.11
  5. Step 5: Solve for x
    x = 65,381,902.11/11,561.70
  6. Step 6: Final answer
    x = 5,655.04

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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.