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Finding the Fourth Proportional to 7,546.21, 10,413.66 and 4,189.01

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Solution

The fourth proportional to 7,546.21, 10,413.66 and 4,189.01 is: 5,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.21 : 10,413.66 = 4,189.01 : x
  2. Step 2: Convert to fraction form
    7,546.21/10,413.66 = 4,189.01/x
  3. Step 3: Cross multiply
    7,546.21x = 10,413.66 × 4,189.01
  4. Step 4: Simplify right side
    7,546.21x = 43,622,904.93
  5. Step 5: Solve for x
    x = 43,622,904.93/7,546.21
  6. Step 6: Final answer
    x = 5,780.77

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