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Finding the Fourth Proportional to 11,183.43, 16,782.09 and 6,505.65

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Solution

The fourth proportional to 11,183.43, 16,782.09 and 6,505.65 is: 9,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183.43 : 16,782.09 = 6,505.65 : x
  2. Step 2: Convert to fraction form
    11,183.43/16,782.09 = 6,505.65/x
  3. Step 3: Cross multiply
    11,183.43x = 16,782.09 × 6,505.65
  4. Step 4: Simplify right side
    11,183.43x = 109,178,403.81
  5. Step 5: Solve for x
    x = 109,178,403.81/11,183.43
  6. Step 6: Final answer
    x = 9,762.52

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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.