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Finding the Fourth Proportional to 7,791.26, 10,750.46 and 4,647.74

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Solution

The fourth proportional to 7,791.26, 10,750.46 and 4,647.74 is: 6,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.26 : 10,750.46 = 4,647.74 : x
  2. Step 2: Convert to fraction form
    7,791.26/10,750.46 = 4,647.74/x
  3. Step 3: Cross multiply
    7,791.26x = 10,750.46 × 4,647.74
  4. Step 4: Simplify right side
    7,791.26x = 49,965,342.96
  5. Step 5: Solve for x
    x = 49,965,342.96/7,791.26
  6. Step 6: Final answer
    x = 6,413.00

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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.