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Finding the Fourth Proportional to 7,286.54, 10,930.41 and 3,071.01

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Solution

The fourth proportional to 7,286.54, 10,930.41 and 3,071.01 is: 4,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.54 : 10,930.41 = 3,071.01 : x
  2. Step 2: Convert to fraction form
    7,286.54/10,930.41 = 3,071.01/x
  3. Step 3: Cross multiply
    7,286.54x = 10,930.41 × 3,071.01
  4. Step 4: Simplify right side
    7,286.54x = 33,567,383.06
  5. Step 5: Solve for x
    x = 33,567,383.06/7,286.54
  6. Step 6: Final answer
    x = 4,606.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.