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Finding the Fourth Proportional to 7,739.94, 11,610.06 and 1,896.60

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Solution

The fourth proportional to 7,739.94, 11,610.06 and 1,896.60 is: 2,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.94 : 11,610.06 = 1,896.60 : x
  2. Step 2: Convert to fraction form
    7,739.94/11,610.06 = 1,896.60/x
  3. Step 3: Cross multiply
    7,739.94x = 11,610.06 × 1,896.60
  4. Step 4: Simplify right side
    7,739.94x = 22,019,639.80
  5. Step 5: Solve for x
    x = 22,019,639.80/7,739.94
  6. Step 6: Final answer
    x = 2,844.94

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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.