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Finding the Fourth Proportional to 11,825.56, 16,305.78 and 8,836.36

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Solution

The fourth proportional to 11,825.56, 16,305.78 and 8,836.36 is: 12,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.56 : 16,305.78 = 8,836.36 : x
  2. Step 2: Convert to fraction form
    11,825.56/16,305.78 = 8,836.36/x
  3. Step 3: Cross multiply
    11,825.56x = 16,305.78 × 8,836.36
  4. Step 4: Simplify right side
    11,825.56x = 144,083,742.16
  5. Step 5: Solve for x
    x = 144,083,742.16/11,825.56
  6. Step 6: Final answer
    x = 12,184.09

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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.