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Finding the Fourth Proportional to 11,378.65, 17,066.75 and 3,983.25

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Solution

The fourth proportional to 11,378.65, 17,066.75 and 3,983.25 is: 5,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.65 : 17,066.75 = 3,983.25 : x
  2. Step 2: Convert to fraction form
    11,378.65/17,066.75 = 3,983.25/x
  3. Step 3: Cross multiply
    11,378.65x = 17,066.75 × 3,983.25
  4. Step 4: Simplify right side
    11,378.65x = 67,981,131.94
  5. Step 5: Solve for x
    x = 67,981,131.94/11,378.65
  6. Step 6: Final answer
    x = 5,974.45

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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.