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Finding the Fourth Proportional to 6,164.73, 8,511.24 and 3,808.23

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Solution

The fourth proportional to 6,164.73, 8,511.24 and 3,808.23 is: 5,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.73 : 8,511.24 = 3,808.23 : x
  2. Step 2: Convert to fraction form
    6,164.73/8,511.24 = 3,808.23/x
  3. Step 3: Cross multiply
    6,164.73x = 8,511.24 × 3,808.23
  4. Step 4: Simplify right side
    6,164.73x = 32,412,759.51
  5. Step 5: Solve for x
    x = 32,412,759.51/6,164.73
  6. Step 6: Final answer
    x = 5,257.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.