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Finding the Fourth Proportional to 11,814.88, 17,722.80 and 5,239.84

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Solution

The fourth proportional to 11,814.88, 17,722.80 and 5,239.84 is: 7,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.88 : 17,722.80 = 5,239.84 : x
  2. Step 2: Convert to fraction form
    11,814.88/17,722.80 = 5,239.84/x
  3. Step 3: Cross multiply
    11,814.88x = 17,722.80 × 5,239.84
  4. Step 4: Simplify right side
    11,814.88x = 92,864,636.35
  5. Step 5: Solve for x
    x = 92,864,636.35/11,814.88
  6. Step 6: Final answer
    x = 7,859.97

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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.