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Finding the Fourth Proportional to 11,820, 16,313.22 and 6,852

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Solution

The fourth proportional to 11,820, 16,313.22 and 6,852 is: 9,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820 : 16,313.22 = 6,852 : x
  2. Step 2: Convert to fraction form
    11,820/16,313.22 = 6,852/x
  3. Step 3: Cross multiply
    11,820x = 16,313.22 × 6,852
  4. Step 4: Simplify right side
    11,820x = 111,778,183.44
  5. Step 5: Solve for x
    x = 111,778,183.44/11,820
  6. Step 6: Final answer
    x = 9,456.70

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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.