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Finding the Fourth Proportional to 11,608.04, 16,017.54 and 7,413.32

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Solution

The fourth proportional to 11,608.04, 16,017.54 and 7,413.32 is: 10,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.04 : 16,017.54 = 7,413.32 : x
  2. Step 2: Convert to fraction form
    11,608.04/16,017.54 = 7,413.32/x
  3. Step 3: Cross multiply
    11,608.04x = 16,017.54 × 7,413.32
  4. Step 4: Simplify right side
    11,608.04x = 118,743,149.63
  5. Step 5: Solve for x
    x = 118,743,149.63/11,608.04
  6. Step 6: Final answer
    x = 10,229.39

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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.