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Finding the Fourth Proportional to 8,236.96, 11,362.08 and 6,889.12

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Solution

The fourth proportional to 8,236.96, 11,362.08 and 6,889.12 is: 9,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.96 : 11,362.08 = 6,889.12 : x
  2. Step 2: Convert to fraction form
    8,236.96/11,362.08 = 6,889.12/x
  3. Step 3: Cross multiply
    8,236.96x = 11,362.08 × 6,889.12
  4. Step 4: Simplify right side
    8,236.96x = 78,274,732.57
  5. Step 5: Solve for x
    x = 78,274,732.57/8,236.96
  6. Step 6: Final answer
    x = 9,502.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.