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Finding the Fourth Proportional to 7,980.94, 11,971.42 and 2,137.40

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Solution

The fourth proportional to 7,980.94, 11,971.42 and 2,137.40 is: 3,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.94 : 11,971.42 = 2,137.40 : x
  2. Step 2: Convert to fraction form
    7,980.94/11,971.42 = 2,137.40/x
  3. Step 3: Cross multiply
    7,980.94x = 11,971.42 × 2,137.40
  4. Step 4: Simplify right side
    7,980.94x = 25,587,713.11
  5. Step 5: Solve for x
    x = 25,587,713.11/7,980.94
  6. Step 6: Final answer
    x = 3,206.10

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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.