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Finding the Fourth Proportional to 7,813.44, 11,716.11 and 6,165.36

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Solution

The fourth proportional to 7,813.44, 11,716.11 and 6,165.36 is: 9,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.44 : 11,716.11 = 6,165.36 : x
  2. Step 2: Convert to fraction form
    7,813.44/11,716.11 = 6,165.36/x
  3. Step 3: Cross multiply
    7,813.44x = 11,716.11 × 6,165.36
  4. Step 4: Simplify right side
    7,813.44x = 72,234,035.95
  5. Step 5: Solve for x
    x = 72,234,035.95/7,813.44
  6. Step 6: Final answer
    x = 9,244.84

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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.