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Finding the Fourth Proportional to 7,662.37, 11,494.15 and 2,115.67

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Solution

The fourth proportional to 7,662.37, 11,494.15 and 2,115.67 is: 3,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.37 : 11,494.15 = 2,115.67 : x
  2. Step 2: Convert to fraction form
    7,662.37/11,494.15 = 2,115.67/x
  3. Step 3: Cross multiply
    7,662.37x = 11,494.15 × 2,115.67
  4. Step 4: Simplify right side
    7,662.37x = 24,317,828.33
  5. Step 5: Solve for x
    x = 24,317,828.33/7,662.37
  6. Step 6: Final answer
    x = 3,173.67

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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.