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Finding the Fourth Proportional to 6,774.40, 10,166.46 and 3,999.40

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Solution

The fourth proportional to 6,774.40, 10,166.46 and 3,999.40 is: 6,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.40 : 10,166.46 = 3,999.40 : x
  2. Step 2: Convert to fraction form
    6,774.40/10,166.46 = 3,999.40/x
  3. Step 3: Cross multiply
    6,774.40x = 10,166.46 × 3,999.40
  4. Step 4: Simplify right side
    6,774.40x = 40,659,740.12
  5. Step 5: Solve for x
    x = 40,659,740.12/6,774.40
  6. Step 6: Final answer
    x = 6,001.97

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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.