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Finding the Fourth Proportional to 6,761.76, 10,141.43 and 1,830.75

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Solution

The fourth proportional to 6,761.76, 10,141.43 and 1,830.75 is: 2,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.76 : 10,141.43 = 1,830.75 : x
  2. Step 2: Convert to fraction form
    6,761.76/10,141.43 = 1,830.75/x
  3. Step 3: Cross multiply
    6,761.76x = 10,141.43 × 1,830.75
  4. Step 4: Simplify right side
    6,761.76x = 18,566,413.82
  5. Step 5: Solve for x
    x = 18,566,413.82/6,761.76
  6. Step 6: Final answer
    x = 2,745.80

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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.