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Finding the Fourth Proportional to 6,065.73, 8,370.02 and 3,413.07

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Solution

The fourth proportional to 6,065.73, 8,370.02 and 3,413.07 is: 4,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.73 : 8,370.02 = 3,413.07 : x
  2. Step 2: Convert to fraction form
    6,065.73/8,370.02 = 3,413.07/x
  3. Step 3: Cross multiply
    6,065.73x = 8,370.02 × 3,413.07
  4. Step 4: Simplify right side
    6,065.73x = 28,567,472.69
  5. Step 5: Solve for x
    x = 28,567,472.69/6,065.73
  6. Step 6: Final answer
    x = 4,709.65

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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.