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Finding the Fourth Proportional to 7,968.54, 11,944.14 and 3,036

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Solution

The fourth proportional to 7,968.54, 11,944.14 and 3,036 is: 4,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.54 : 11,944.14 = 3,036 : x
  2. Step 2: Convert to fraction form
    7,968.54/11,944.14 = 3,036/x
  3. Step 3: Cross multiply
    7,968.54x = 11,944.14 × 3,036
  4. Step 4: Simplify right side
    7,968.54x = 36,262,409.04
  5. Step 5: Solve for x
    x = 36,262,409.04/7,968.54
  6. Step 6: Final answer
    x = 4,550.70

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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.