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Finding the Fourth Proportional to 11,412.36, 17,086.98 and 5,853.72

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Solution

The fourth proportional to 11,412.36, 17,086.98 and 5,853.72 is: 8,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.36 : 17,086.98 = 5,853.72 : x
  2. Step 2: Convert to fraction form
    11,412.36/17,086.98 = 5,853.72/x
  3. Step 3: Cross multiply
    11,412.36x = 17,086.98 × 5,853.72
  4. Step 4: Simplify right side
    11,412.36x = 100,022,396.57
  5. Step 5: Solve for x
    x = 100,022,396.57/11,412.36
  6. Step 6: Final answer
    x = 8,764.39

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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.