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Finding the Fourth Proportional to 6,823.35, 10,227.24 and 3,316.74

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Solution

The fourth proportional to 6,823.35, 10,227.24 and 3,316.74 is: 4,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.35 : 10,227.24 = 3,316.74 : x
  2. Step 2: Convert to fraction form
    6,823.35/10,227.24 = 3,316.74/x
  3. Step 3: Cross multiply
    6,823.35x = 10,227.24 × 3,316.74
  4. Step 4: Simplify right side
    6,823.35x = 33,921,096.00
  5. Step 5: Solve for x
    x = 33,921,096.00/6,823.35
  6. Step 6: Final answer
    x = 4,971.33

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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.