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Finding the Fourth Proportional to 11,639.73, 16,056.02 and 8,449.31

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Solution

The fourth proportional to 11,639.73, 16,056.02 and 8,449.31 is: 11,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.73 : 16,056.02 = 8,449.31 : x
  2. Step 2: Convert to fraction form
    11,639.73/16,056.02 = 8,449.31/x
  3. Step 3: Cross multiply
    11,639.73x = 16,056.02 × 8,449.31
  4. Step 4: Simplify right side
    11,639.73x = 135,662,351.61
  5. Step 5: Solve for x
    x = 135,662,351.61/11,639.73
  6. Step 6: Final answer
    x = 11,655.11

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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.