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Finding the Fourth Proportional to 6,706.26, 10,062.80 and 2,760.55

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Solution

The fourth proportional to 6,706.26, 10,062.80 and 2,760.55 is: 4,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.26 : 10,062.80 = 2,760.55 : x
  2. Step 2: Convert to fraction form
    6,706.26/10,062.80 = 2,760.55/x
  3. Step 3: Cross multiply
    6,706.26x = 10,062.80 × 2,760.55
  4. Step 4: Simplify right side
    6,706.26x = 27,778,848.74
  5. Step 5: Solve for x
    x = 27,778,848.74/6,706.26
  6. Step 6: Final answer
    x = 4,142.23

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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.