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Finding the Fourth Proportional to 8,197.44, 11,313.43 and 4,661.18

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Solution

The fourth proportional to 8,197.44, 11,313.43 and 4,661.18 is: 6,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.44 : 11,313.43 = 4,661.18 : x
  2. Step 2: Convert to fraction form
    8,197.44/11,313.43 = 4,661.18/x
  3. Step 3: Cross multiply
    8,197.44x = 11,313.43 × 4,661.18
  4. Step 4: Simplify right side
    8,197.44x = 52,733,910.34
  5. Step 5: Solve for x
    x = 52,733,910.34/8,197.44
  6. Step 6: Final answer
    x = 6,432.97

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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.