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Finding the Fourth Proportional to 11,758.28, 16,226.79 and 6,453.46

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Solution

The fourth proportional to 11,758.28, 16,226.79 and 6,453.46 is: 8,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.28 : 16,226.79 = 6,453.46 : x
  2. Step 2: Convert to fraction form
    11,758.28/16,226.79 = 6,453.46/x
  3. Step 3: Cross multiply
    11,758.28x = 16,226.79 × 6,453.46
  4. Step 4: Simplify right side
    11,758.28x = 104,718,940.19
  5. Step 5: Solve for x
    x = 104,718,940.19/11,758.28
  6. Step 6: Final answer
    x = 8,905.97

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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.