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Finding the Fourth Proportional to 8,194.63, 11,313.26 and 5,408.23

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Solution

The fourth proportional to 8,194.63, 11,313.26 and 5,408.23 is: 7,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.63 : 11,313.26 = 5,408.23 : x
  2. Step 2: Convert to fraction form
    8,194.63/11,313.26 = 5,408.23/x
  3. Step 3: Cross multiply
    8,194.63x = 11,313.26 × 5,408.23
  4. Step 4: Simplify right side
    8,194.63x = 61,184,712.13
  5. Step 5: Solve for x
    x = 61,184,712.13/8,194.63
  6. Step 6: Final answer
    x = 7,466.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.