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Finding the Fourth Proportional to 6,824.67, 10,233.81 and 4,745.70

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Solution

The fourth proportional to 6,824.67, 10,233.81 and 4,745.70 is: 7,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.67 : 10,233.81 = 4,745.70 : x
  2. Step 2: Convert to fraction form
    6,824.67/10,233.81 = 4,745.70/x
  3. Step 3: Cross multiply
    6,824.67x = 10,233.81 × 4,745.70
  4. Step 4: Simplify right side
    6,824.67x = 48,566,592.12
  5. Step 5: Solve for x
    x = 48,566,592.12/6,824.67
  6. Step 6: Final answer
    x = 7,116.33

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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.