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Finding the Fourth Proportional to 11,187.75, 16,782.13 and 5,634.47

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Solution

The fourth proportional to 11,187.75, 16,782.13 and 5,634.47 is: 8,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.75 : 16,782.13 = 5,634.47 : x
  2. Step 2: Convert to fraction form
    11,187.75/16,782.13 = 5,634.47/x
  3. Step 3: Cross multiply
    11,187.75x = 16,782.13 × 5,634.47
  4. Step 4: Simplify right side
    11,187.75x = 94,558,408.02
  5. Step 5: Solve for x
    x = 94,558,408.02/11,187.75
  6. Step 6: Final answer
    x = 8,451.96

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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.