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Finding the Fourth Proportional to 7,679.94, 11,523.51 and 3,980.16

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Solution

The fourth proportional to 7,679.94, 11,523.51 and 3,980.16 is: 5,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.94 : 11,523.51 = 3,980.16 : x
  2. Step 2: Convert to fraction form
    7,679.94/11,523.51 = 3,980.16/x
  3. Step 3: Cross multiply
    7,679.94x = 11,523.51 × 3,980.16
  4. Step 4: Simplify right side
    7,679.94x = 45,865,413.56
  5. Step 5: Solve for x
    x = 45,865,413.56/7,679.94
  6. Step 6: Final answer
    x = 5,972.11

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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.