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Finding the Fourth Proportional to 7,878.24, 11,813.22 and 3,493.80

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Solution

The fourth proportional to 7,878.24, 11,813.22 and 3,493.80 is: 5,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.24 : 11,813.22 = 3,493.80 : x
  2. Step 2: Convert to fraction form
    7,878.24/11,813.22 = 3,493.80/x
  3. Step 3: Cross multiply
    7,878.24x = 11,813.22 × 3,493.80
  4. Step 4: Simplify right side
    7,878.24x = 41,273,028.04
  5. Step 5: Solve for x
    x = 41,273,028.04/7,878.24
  6. Step 6: Final answer
    x = 5,238.86

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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.