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Finding the Fourth Proportional to 7,584.52, 10,465.69 and 4,227.09

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Solution

The fourth proportional to 7,584.52, 10,465.69 and 4,227.09 is: 5,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.52 : 10,465.69 = 4,227.09 : x
  2. Step 2: Convert to fraction form
    7,584.52/10,465.69 = 4,227.09/x
  3. Step 3: Cross multiply
    7,584.52x = 10,465.69 × 4,227.09
  4. Step 4: Simplify right side
    7,584.52x = 44,239,413.54
  5. Step 5: Solve for x
    x = 44,239,413.54/7,584.52
  6. Step 6: Final answer
    x = 5,832.86

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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.