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Finding the Fourth Proportional to 11,783.97, 17,674.73 and 4,767.65

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Solution

The fourth proportional to 11,783.97, 17,674.73 and 4,767.65 is: 7,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.97 : 17,674.73 = 4,767.65 : x
  2. Step 2: Convert to fraction form
    11,783.97/17,674.73 = 4,767.65/x
  3. Step 3: Cross multiply
    11,783.97x = 17,674.73 × 4,767.65
  4. Step 4: Simplify right side
    11,783.97x = 84,266,814.27
  5. Step 5: Solve for x
    x = 84,266,814.27/11,783.97
  6. Step 6: Final answer
    x = 7,150.97

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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.