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Finding the Fourth Proportional to 7,546.50, 10,413.68 and 4,189.16

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Solution

The fourth proportional to 7,546.50, 10,413.68 and 4,189.16 is: 5,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.50 : 10,413.68 = 4,189.16 : x
  2. Step 2: Convert to fraction form
    7,546.50/10,413.68 = 4,189.16/x
  3. Step 3: Cross multiply
    7,546.50x = 10,413.68 × 4,189.16
  4. Step 4: Simplify right side
    7,546.50x = 43,624,571.71
  5. Step 5: Solve for x
    x = 43,624,571.71/7,546.50
  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.