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Finding the Fourth Proportional to 10,906.83, 16,359.81 and 6,753.96

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Solution

The fourth proportional to 10,906.83, 16,359.81 and 6,753.96 is: 10,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.83 : 16,359.81 = 6,753.96 : x
  2. Step 2: Convert to fraction form
    10,906.83/16,359.81 = 6,753.96/x
  3. Step 3: Cross multiply
    10,906.83x = 16,359.81 × 6,753.96
  4. Step 4: Simplify right side
    10,906.83x = 110,493,502.35
  5. Step 5: Solve for x
    x = 110,493,502.35/10,906.83
  6. Step 6: Final answer
    x = 10,130.67

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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.