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Finding the Fourth Proportional to 10,861.81, 16,289.07 and 6,910.63

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Solution

The fourth proportional to 10,861.81, 16,289.07 and 6,910.63 is: 10,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.81 : 16,289.07 = 6,910.63 : x
  2. Step 2: Convert to fraction form
    10,861.81/16,289.07 = 6,910.63/x
  3. Step 3: Cross multiply
    10,861.81x = 16,289.07 × 6,910.63
  4. Step 4: Simplify right side
    10,861.81x = 112,567,735.81
  5. Step 5: Solve for x
    x = 112,567,735.81/10,861.81
  6. Step 6: Final answer
    x = 10,363.63

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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.