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Finding the Fourth Proportional to 7,609.34, 11,413.98 and 2,415.62

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Solution

The fourth proportional to 7,609.34, 11,413.98 and 2,415.62 is: 3,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.34 : 11,413.98 = 2,415.62 : x
  2. Step 2: Convert to fraction form
    7,609.34/11,413.98 = 2,415.62/x
  3. Step 3: Cross multiply
    7,609.34x = 11,413.98 × 2,415.62
  4. Step 4: Simplify right side
    7,609.34x = 27,571,838.37
  5. Step 5: Solve for x
    x = 27,571,838.37/7,609.34
  6. Step 6: Final answer
    x = 3,623.42

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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.