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Finding the Fourth Proportional to 7,811.26, 11,715.69 and 2,546.26

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Solution

The fourth proportional to 7,811.26, 11,715.69 and 2,546.26 is: 3,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.26 : 11,715.69 = 2,546.26 : x
  2. Step 2: Convert to fraction form
    7,811.26/11,715.69 = 2,546.26/x
  3. Step 3: Cross multiply
    7,811.26x = 11,715.69 × 2,546.26
  4. Step 4: Simplify right side
    7,811.26x = 29,831,163.53
  5. Step 5: Solve for x
    x = 29,831,163.53/7,811.26
  6. Step 6: Final answer
    x = 3,818.99

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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.