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Finding the Fourth Proportional to 6,939.90, 10,401.08 and 2,986.49

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Solution

The fourth proportional to 6,939.90, 10,401.08 and 2,986.49 is: 4,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.90 : 10,401.08 = 2,986.49 : x
  2. Step 2: Convert to fraction form
    6,939.90/10,401.08 = 2,986.49/x
  3. Step 3: Cross multiply
    6,939.90x = 10,401.08 × 2,986.49
  4. Step 4: Simplify right side
    6,939.90x = 31,062,732.48
  5. Step 5: Solve for x
    x = 31,062,732.48/6,939.90
  6. Step 6: Final answer
    x = 4,475.96

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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.