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Finding the Fourth Proportional to 7,797.72, 11,693.78 and 2,866.26

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Solution

The fourth proportional to 7,797.72, 11,693.78 and 2,866.26 is: 4,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.72 : 11,693.78 = 2,866.26 : x
  2. Step 2: Convert to fraction form
    7,797.72/11,693.78 = 2,866.26/x
  3. Step 3: Cross multiply
    7,797.72x = 11,693.78 × 2,866.26
  4. Step 4: Simplify right side
    7,797.72x = 33,517,413.86
  5. Step 5: Solve for x
    x = 33,517,413.86/7,797.72
  6. Step 6: Final answer
    x = 4,298.36

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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.