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Finding the Fourth Proportional to 7,969.41, 11,954.12 and 2,704.44

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Solution

The fourth proportional to 7,969.41, 11,954.12 and 2,704.44 is: 4,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.41 : 11,954.12 = 2,704.44 : x
  2. Step 2: Convert to fraction form
    7,969.41/11,954.12 = 2,704.44/x
  3. Step 3: Cross multiply
    7,969.41x = 11,954.12 × 2,704.44
  4. Step 4: Simplify right side
    7,969.41x = 32,329,175.77
  5. Step 5: Solve for x
    x = 32,329,175.77/7,969.41
  6. Step 6: Final answer
    x = 4,056.66

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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.