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Finding the Fourth Proportional to 6,773.76, 10,160.37 and 2,611.98

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Solution

The fourth proportional to 6,773.76, 10,160.37 and 2,611.98 is: 3,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.76 : 10,160.37 = 2,611.98 : x
  2. Step 2: Convert to fraction form
    6,773.76/10,160.37 = 2,611.98/x
  3. Step 3: Cross multiply
    6,773.76x = 10,160.37 × 2,611.98
  4. Step 4: Simplify right side
    6,773.76x = 26,538,683.23
  5. Step 5: Solve for x
    x = 26,538,683.23/6,773.76
  6. Step 6: Final answer
    x = 3,917.87

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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.