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Finding the Fourth Proportional to 6,705.73, 10,049.23 and 5,713.37

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Solution

The fourth proportional to 6,705.73, 10,049.23 and 5,713.37 is: 8,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.73 : 10,049.23 = 5,713.37 : x
  2. Step 2: Convert to fraction form
    6,705.73/10,049.23 = 5,713.37/x
  3. Step 3: Cross multiply
    6,705.73x = 10,049.23 × 5,713.37
  4. Step 4: Simplify right side
    6,705.73x = 57,414,969.21
  5. Step 5: Solve for x
    x = 57,414,969.21/6,705.73
  6. Step 6: Final answer
    x = 8,562.08

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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.