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Finding the Fourth Proportional to 11,471.56, 17,201.66 and 4,806.84

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Solution

The fourth proportional to 11,471.56, 17,201.66 and 4,806.84 is: 7,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.56 : 17,201.66 = 4,806.84 : x
  2. Step 2: Convert to fraction form
    11,471.56/17,201.66 = 4,806.84/x
  3. Step 3: Cross multiply
    11,471.56x = 17,201.66 × 4,806.84
  4. Step 4: Simplify right side
    11,471.56x = 82,685,627.35
  5. Step 5: Solve for x
    x = 82,685,627.35/11,471.56
  6. Step 6: Final answer
    x = 7,207.88

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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.