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Finding the Fourth Proportional to 6,817.95, 10,217.40 and 3,691.20

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Solution

The fourth proportional to 6,817.95, 10,217.40 and 3,691.20 is: 5,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.95 : 10,217.40 = 3,691.20 : x
  2. Step 2: Convert to fraction form
    6,817.95/10,217.40 = 3,691.20/x
  3. Step 3: Cross multiply
    6,817.95x = 10,217.40 × 3,691.20
  4. Step 4: Simplify right side
    6,817.95x = 37,714,466.88
  5. Step 5: Solve for x
    x = 37,714,466.88/6,817.95
  6. Step 6: Final answer
    x = 5,531.64

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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.