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Finding the Fourth Proportional to 11,861.46, 17,755.28 and 7,469.70

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Solution

The fourth proportional to 11,861.46, 17,755.28 and 7,469.70 is: 11,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.46 : 17,755.28 = 7,469.70 : x
  2. Step 2: Convert to fraction form
    11,861.46/17,755.28 = 7,469.70/x
  3. Step 3: Cross multiply
    11,861.46x = 17,755.28 × 7,469.70
  4. Step 4: Simplify right side
    11,861.46x = 132,626,615.02
  5. Step 5: Solve for x
    x = 132,626,615.02/11,861.46
  6. Step 6: Final answer
    x = 11,181.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.