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Finding the Fourth Proportional to 11,786.16, 17,674.68 and 3,888.38

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Solution

The fourth proportional to 11,786.16, 17,674.68 and 3,888.38 is: 5,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.16 : 17,674.68 = 3,888.38 : x
  2. Step 2: Convert to fraction form
    11,786.16/17,674.68 = 3,888.38/x
  3. Step 3: Cross multiply
    11,786.16x = 17,674.68 × 3,888.38
  4. Step 4: Simplify right side
    11,786.16x = 68,725,872.22
  5. Step 5: Solve for x
    x = 68,725,872.22/11,786.16
  6. Step 6: Final answer
    x = 5,831.07

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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.