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Finding the Fourth Proportional to 6,911.29, 10,369.00 and 3,216.63

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Solution

The fourth proportional to 6,911.29, 10,369.00 and 3,216.63 is: 4,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.29 : 10,369.00 = 3,216.63 : x
  2. Step 2: Convert to fraction form
    6,911.29/10,369.00 = 3,216.63/x
  3. Step 3: Cross multiply
    6,911.29x = 10,369.00 × 3,216.63
  4. Step 4: Simplify right side
    6,911.29x = 33,353,202.96
  5. Step 5: Solve for x
    x = 33,353,202.96/6,911.29
  6. Step 6: Final answer
    x = 4,825.90

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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.