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Finding the Fourth Proportional to 11,628.14, 16,046.96 and 6,322.83

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Solution

The fourth proportional to 11,628.14, 16,046.96 and 6,322.83 is: 8,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.14 : 16,046.96 = 6,322.83 : x
  2. Step 2: Convert to fraction form
    11,628.14/16,046.96 = 6,322.83/x
  3. Step 3: Cross multiply
    11,628.14x = 16,046.96 × 6,322.83
  4. Step 4: Simplify right side
    11,628.14x = 101,462,168.48
  5. Step 5: Solve for x
    x = 101,462,168.48/11,628.14
  6. Step 6: Final answer
    x = 8,725.58

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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.