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Finding the Fourth Proportional to 7,825.79, 11,739.99 and 2,895.44

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Solution

The fourth proportional to 7,825.79, 11,739.99 and 2,895.44 is: 4,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.79 : 11,739.99 = 2,895.44 : x
  2. Step 2: Convert to fraction form
    7,825.79/11,739.99 = 2,895.44/x
  3. Step 3: Cross multiply
    7,825.79x = 11,739.99 × 2,895.44
  4. Step 4: Simplify right side
    7,825.79x = 33,992,436.65
  5. Step 5: Solve for x
    x = 33,992,436.65/7,825.79
  6. Step 6: Final answer
    x = 4,343.64

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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.