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Finding the Fourth Proportional to 7,896.96, 11,851.11 and 4,611.06

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Solution

The fourth proportional to 7,896.96, 11,851.11 and 4,611.06 is: 6,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.96 : 11,851.11 = 4,611.06 : x
  2. Step 2: Convert to fraction form
    7,896.96/11,851.11 = 4,611.06/x
  3. Step 3: Cross multiply
    7,896.96x = 11,851.11 × 4,611.06
  4. Step 4: Simplify right side
    7,896.96x = 54,646,179.28
  5. Step 5: Solve for x
    x = 54,646,179.28/7,896.96
  6. Step 6: Final answer
    x = 6,919.90

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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.