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Finding the Fourth Proportional to 11,846.92, 16,349.28 and 6,812.76

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Solution

The fourth proportional to 11,846.92, 16,349.28 and 6,812.76 is: 9,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.92 : 16,349.28 = 6,812.76 : x
  2. Step 2: Convert to fraction form
    11,846.92/16,349.28 = 6,812.76/x
  3. Step 3: Cross multiply
    11,846.92x = 16,349.28 × 6,812.76
  4. Step 4: Simplify right side
    11,846.92x = 111,383,720.81
  5. Step 5: Solve for x
    x = 111,383,720.81/11,846.92
  6. Step 6: Final answer
    x = 9,401.91

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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.