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Finding the Fourth Proportional to 7,980.66, 11,971.26 and 2,137.23

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Solution

The fourth proportional to 7,980.66, 11,971.26 and 2,137.23 is: 3,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.66 : 11,971.26 = 2,137.23 : x
  2. Step 2: Convert to fraction form
    7,980.66/11,971.26 = 2,137.23/x
  3. Step 3: Cross multiply
    7,980.66x = 11,971.26 × 2,137.23
  4. Step 4: Simplify right side
    7,980.66x = 25,585,336.01
  5. Step 5: Solve for x
    x = 25,585,336.01/7,980.66
  6. Step 6: Final answer
    x = 3,205.92

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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.