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Finding the Fourth Proportional to 7,614.21, 11,405.08 and 3,659.65

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Solution

The fourth proportional to 7,614.21, 11,405.08 and 3,659.65 is: 5,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.21 : 11,405.08 = 3,659.65 : x
  2. Step 2: Convert to fraction form
    7,614.21/11,405.08 = 3,659.65/x
  3. Step 3: Cross multiply
    7,614.21x = 11,405.08 × 3,659.65
  4. Step 4: Simplify right side
    7,614.21x = 41,738,601.02
  5. Step 5: Solve for x
    x = 41,738,601.02/7,614.21
  6. Step 6: Final answer
    x = 5,481.67

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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.