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Finding the Fourth Proportional to 7,741.88, 11,614.86 and 4,449.08

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Solution

The fourth proportional to 7,741.88, 11,614.86 and 4,449.08 is: 6,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.88 : 11,614.86 = 4,449.08 : x
  2. Step 2: Convert to fraction form
    7,741.88/11,614.86 = 4,449.08/x
  3. Step 3: Cross multiply
    7,741.88x = 11,614.86 × 4,449.08
  4. Step 4: Simplify right side
    7,741.88x = 51,675,441.33
  5. Step 5: Solve for x
    x = 51,675,441.33/7,741.88
  6. Step 6: Final answer
    x = 6,674.79

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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.