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Finding the Fourth Proportional to 7,608.22, 11,413.59 and 2,415.34

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Solution

The fourth proportional to 7,608.22, 11,413.59 and 2,415.34 is: 3,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.22 : 11,413.59 = 2,415.34 : x
  2. Step 2: Convert to fraction form
    7,608.22/11,413.59 = 2,415.34/x
  3. Step 3: Cross multiply
    7,608.22x = 11,413.59 × 2,415.34
  4. Step 4: Simplify right side
    7,608.22x = 27,567,700.47
  5. Step 5: Solve for x
    x = 27,567,700.47/7,608.22
  6. Step 6: Final answer
    x = 3,623.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.