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Finding the Fourth Proportional to 7,980.39, 11,977.49 and 7,961.93

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Solution

The fourth proportional to 7,980.39, 11,977.49 and 7,961.93 is: 11,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.39 : 11,977.49 = 7,961.93 : x
  2. Step 2: Convert to fraction form
    7,980.39/11,977.49 = 7,961.93/x
  3. Step 3: Cross multiply
    7,980.39x = 11,977.49 × 7,961.93
  4. Step 4: Simplify right side
    7,980.39x = 95,363,837.26
  5. Step 5: Solve for x
    x = 95,363,837.26/7,980.39
  6. Step 6: Final answer
    x = 11,949.77

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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.