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Finding the Fourth Proportional to 11,896.46, 16,420.50 and 7,181.05

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Solution

The fourth proportional to 11,896.46, 16,420.50 and 7,181.05 is: 9,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.46 : 16,420.50 = 7,181.05 : x
  2. Step 2: Convert to fraction form
    11,896.46/16,420.50 = 7,181.05/x
  3. Step 3: Cross multiply
    11,896.46x = 16,420.50 × 7,181.05
  4. Step 4: Simplify right side
    11,896.46x = 117,916,431.53
  5. Step 5: Solve for x
    x = 117,916,431.53/11,896.46
  6. Step 6: Final answer
    x = 9,911.89

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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.