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Finding the Fourth Proportional to 6,706.72, 10,060.26 and 2,546.20

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Solution

The fourth proportional to 6,706.72, 10,060.26 and 2,546.20 is: 3,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.72 : 10,060.26 = 2,546.20 : x
  2. Step 2: Convert to fraction form
    6,706.72/10,060.26 = 2,546.20/x
  3. Step 3: Cross multiply
    6,706.72x = 10,060.26 × 2,546.20
  4. Step 4: Simplify right side
    6,706.72x = 25,615,434.01
  5. Step 5: Solve for x
    x = 25,615,434.01/6,706.72
  6. Step 6: Final answer
    x = 3,819.37

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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.