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Finding the Fourth Proportional to 7,618.23, 11,399.63 and 6,289.62

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Solution

The fourth proportional to 7,618.23, 11,399.63 and 6,289.62 is: 9,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.23 : 11,399.63 = 6,289.62 : x
  2. Step 2: Convert to fraction form
    7,618.23/11,399.63 = 6,289.62/x
  3. Step 3: Cross multiply
    7,618.23x = 11,399.63 × 6,289.62
  4. Step 4: Simplify right side
    7,618.23x = 71,699,375.73
  5. Step 5: Solve for x
    x = 71,699,375.73/7,618.23
  6. Step 6: Final answer
    x = 9,411.56

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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.