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Finding the Fourth Proportional to 7,606.51, 11,413.76 and 5,399.60

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Solution

The fourth proportional to 7,606.51, 11,413.76 and 5,399.60 is: 8,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.51 : 11,413.76 = 5,399.60 : x
  2. Step 2: Convert to fraction form
    7,606.51/11,413.76 = 5,399.60/x
  3. Step 3: Cross multiply
    7,606.51x = 11,413.76 × 5,399.60
  4. Step 4: Simplify right side
    7,606.51x = 61,629,654.43
  5. Step 5: Solve for x
    x = 61,629,654.43/7,606.51
  6. Step 6: Final answer
    x = 8,102.23

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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.