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Finding the Fourth Proportional to 7,645.68, 11,469.83 and 2,380.31

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Solution

The fourth proportional to 7,645.68, 11,469.83 and 2,380.31 is: 3,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.68 : 11,469.83 = 2,380.31 : x
  2. Step 2: Convert to fraction form
    7,645.68/11,469.83 = 2,380.31/x
  3. Step 3: Cross multiply
    7,645.68x = 11,469.83 × 2,380.31
  4. Step 4: Simplify right side
    7,645.68x = 27,301,699.65
  5. Step 5: Solve for x
    x = 27,301,699.65/7,645.68
  6. Step 6: Final answer
    x = 3,570.87

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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.