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Finding the Fourth Proportional to 7,974.67, 11,961.51 and 2,976.07

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Solution

The fourth proportional to 7,974.67, 11,961.51 and 2,976.07 is: 4,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.67 : 11,961.51 = 2,976.07 : x
  2. Step 2: Convert to fraction form
    7,974.67/11,961.51 = 2,976.07/x
  3. Step 3: Cross multiply
    7,974.67x = 11,961.51 × 2,976.07
  4. Step 4: Simplify right side
    7,974.67x = 35,598,291.07
  5. Step 5: Solve for x
    x = 35,598,291.07/7,974.67
  6. Step 6: Final answer
    x = 4,463.92

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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.