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Finding the Fourth Proportional to 6,678.63, 10,014.79 and 3,906.14

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Solution

The fourth proportional to 6,678.63, 10,014.79 and 3,906.14 is: 5,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.63 : 10,014.79 = 3,906.14 : x
  2. Step 2: Convert to fraction form
    6,678.63/10,014.79 = 3,906.14/x
  3. Step 3: Cross multiply
    6,678.63x = 10,014.79 × 3,906.14
  4. Step 4: Simplify right side
    6,678.63x = 39,119,171.81
  5. Step 5: Solve for x
    x = 39,119,171.81/6,678.63
  6. Step 6: Final answer
    x = 5,857.37

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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.