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Finding the Fourth Proportional to 7,804.16, 11,705.37 and 1,960.79

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Solution

The fourth proportional to 7,804.16, 11,705.37 and 1,960.79 is: 2,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.16 : 11,705.37 = 1,960.79 : x
  2. Step 2: Convert to fraction form
    7,804.16/11,705.37 = 1,960.79/x
  3. Step 3: Cross multiply
    7,804.16x = 11,705.37 × 1,960.79
  4. Step 4: Simplify right side
    7,804.16x = 22,951,772.44
  5. Step 5: Solve for x
    x = 22,951,772.44/7,804.16
  6. Step 6: Final answer
    x = 2,940.97

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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.