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Finding the Fourth Proportional to 10,471.58, 14,452.98 and 6,640.73

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Solution

The fourth proportional to 10,471.58, 14,452.98 and 6,640.73 is: 9,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.58 : 14,452.98 = 6,640.73 : x
  2. Step 2: Convert to fraction form
    10,471.58/14,452.98 = 6,640.73/x
  3. Step 3: Cross multiply
    10,471.58x = 14,452.98 × 6,640.73
  4. Step 4: Simplify right side
    10,471.58x = 95,978,413.56
  5. Step 5: Solve for x
    x = 95,978,413.56/10,471.58
  6. Step 6: Final answer
    x = 9,165.61

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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.