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Finding the Fourth Proportional to 6,679.63, 10,016.29 and 3,907.14

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Solution

The fourth proportional to 6,679.63, 10,016.29 and 3,907.14 is: 5,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.63 : 10,016.29 = 3,907.14 : x
  2. Step 2: Convert to fraction form
    6,679.63/10,016.29 = 3,907.14/x
  3. Step 3: Cross multiply
    6,679.63x = 10,016.29 × 3,907.14
  4. Step 4: Simplify right side
    6,679.63x = 39,135,047.31
  5. Step 5: Solve for x
    x = 39,135,047.31/6,679.63
  6. Step 6: Final answer
    x = 5,858.86

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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.