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Finding the Fourth Proportional to 8,111.76, 11,195.40 and 7,611.42

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Solution

The fourth proportional to 8,111.76, 11,195.40 and 7,611.42 is: 10,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.76 : 11,195.40 = 7,611.42 : x
  2. Step 2: Convert to fraction form
    8,111.76/11,195.40 = 7,611.42/x
  3. Step 3: Cross multiply
    8,111.76x = 11,195.40 × 7,611.42
  4. Step 4: Simplify right side
    8,111.76x = 85,212,891.47
  5. Step 5: Solve for x
    x = 85,212,891.47/8,111.76
  6. Step 6: Final answer
    x = 10,504.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.