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Finding the Fourth Proportional to 7,853.40, 11,786.18 and 5,388.17

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Solution

The fourth proportional to 7,853.40, 11,786.18 and 5,388.17 is: 8,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.40 : 11,786.18 = 5,388.17 : x
  2. Step 2: Convert to fraction form
    7,853.40/11,786.18 = 5,388.17/x
  3. Step 3: Cross multiply
    7,853.40x = 11,786.18 × 5,388.17
  4. Step 4: Simplify right side
    7,853.40x = 63,505,855.62
  5. Step 5: Solve for x
    x = 63,505,855.62/7,853.40
  6. Step 6: Final answer
    x = 8,086.42

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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.