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Finding the Fourth Proportional to 6,863.78, 10,290 and 3,162.90

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Solution

The fourth proportional to 6,863.78, 10,290 and 3,162.90 is: 4,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.78 : 10,290 = 3,162.90 : x
  2. Step 2: Convert to fraction form
    6,863.78/10,290 = 3,162.90/x
  3. Step 3: Cross multiply
    6,863.78x = 10,290 × 3,162.90
  4. Step 4: Simplify right side
    6,863.78x = 32,546,241
  5. Step 5: Solve for x
    x = 32,546,241/6,863.78
  6. Step 6: Final answer
    x = 4,741.74

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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.