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Finding the Fourth Proportional to 7,980.56, 11,971 and 2,137.16

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Solution

The fourth proportional to 7,980.56, 11,971 and 2,137.16 is: 3,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.56 : 11,971 = 2,137.16 : x
  2. Step 2: Convert to fraction form
    7,980.56/11,971 = 2,137.16/x
  3. Step 3: Cross multiply
    7,980.56x = 11,971 × 2,137.16
  4. Step 4: Simplify right side
    7,980.56x = 25,583,942.36
  5. Step 5: Solve for x
    x = 25,583,942.36/7,980.56
  6. Step 6: Final answer
    x = 3,205.78

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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.