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Finding the Fourth Proportional to 11,814.86, 17,716.08 and 5,238.20

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Solution

The fourth proportional to 11,814.86, 17,716.08 and 5,238.20 is: 7,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.86 : 17,716.08 = 5,238.20 : x
  2. Step 2: Convert to fraction form
    11,814.86/17,716.08 = 5,238.20/x
  3. Step 3: Cross multiply
    11,814.86x = 17,716.08 × 5,238.20
  4. Step 4: Simplify right side
    11,814.86x = 92,800,370.26
  5. Step 5: Solve for x
    x = 92,800,370.26/11,814.86
  6. Step 6: Final answer
    x = 7,854.55

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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.