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Finding the Fourth Proportional to 7,286.81, 10,054.88 and 4,099.71

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Solution

The fourth proportional to 7,286.81, 10,054.88 and 4,099.71 is: 5,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.81 : 10,054.88 = 4,099.71 : x
  2. Step 2: Convert to fraction form
    7,286.81/10,054.88 = 4,099.71/x
  3. Step 3: Cross multiply
    7,286.81x = 10,054.88 × 4,099.71
  4. Step 4: Simplify right side
    7,286.81x = 41,222,147.73
  5. Step 5: Solve for x
    x = 41,222,147.73/7,286.81
  6. Step 6: Final answer
    x = 5,657.09

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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.