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Finding the Fourth Proportional to 8,413.38, 11,609.91 and 5,054.19

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Solution

The fourth proportional to 8,413.38, 11,609.91 and 5,054.19 is: 6,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.38 : 11,609.91 = 5,054.19 : x
  2. Step 2: Convert to fraction form
    8,413.38/11,609.91 = 5,054.19/x
  3. Step 3: Cross multiply
    8,413.38x = 11,609.91 × 5,054.19
  4. Step 4: Simplify right side
    8,413.38x = 58,678,691.02
  5. Step 5: Solve for x
    x = 58,678,691.02/8,413.38
  6. Step 6: Final answer
    x = 6,974.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.