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Finding the Fourth Proportional to 7,723.69, 11,584.99 and 4,028.00

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Solution

The fourth proportional to 7,723.69, 11,584.99 and 4,028.00 is: 6,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.69 : 11,584.99 = 4,028.00 : x
  2. Step 2: Convert to fraction form
    7,723.69/11,584.99 = 4,028.00/x
  3. Step 3: Cross multiply
    7,723.69x = 11,584.99 × 4,028.00
  4. Step 4: Simplify right side
    7,723.69x = 46,664,286.83
  5. Step 5: Solve for x
    x = 46,664,286.83/7,723.69
  6. Step 6: Final answer
    x = 6,041.71

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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.