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Finding the Fourth Proportional to 7,869.66, 11,795.83 and 6,947.47

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Solution

The fourth proportional to 7,869.66, 11,795.83 and 6,947.47 is: 10,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.66 : 11,795.83 = 6,947.47 : x
  2. Step 2: Convert to fraction form
    7,869.66/11,795.83 = 6,947.47/x
  3. Step 3: Cross multiply
    7,869.66x = 11,795.83 × 6,947.47
  4. Step 4: Simplify right side
    7,869.66x = 81,951,172.43
  5. Step 5: Solve for x
    x = 81,951,172.43/7,869.66
  6. Step 6: Final answer
    x = 10,413.56

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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.