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Finding the Fourth Proportional to 11,896.28, 16,411.64 and 7,113.59

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Solution

The fourth proportional to 11,896.28, 16,411.64 and 7,113.59 is: 9,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.28 : 16,411.64 = 7,113.59 : x
  2. Step 2: Convert to fraction form
    11,896.28/16,411.64 = 7,113.59/x
  3. Step 3: Cross multiply
    11,896.28x = 16,411.64 × 7,113.59
  4. Step 4: Simplify right side
    11,896.28x = 116,745,560.56
  5. Step 5: Solve for x
    x = 116,745,560.56/11,896.28
  6. Step 6: Final answer
    x = 9,813.62

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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.