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Finding the Fourth Proportional to 11,910.90, 17,861.76 and 5,666.10

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Solution

The fourth proportional to 11,910.90, 17,861.76 and 5,666.10 is: 8,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.90 : 17,861.76 = 5,666.10 : x
  2. Step 2: Convert to fraction form
    11,910.90/17,861.76 = 5,666.10/x
  3. Step 3: Cross multiply
    11,910.90x = 17,861.76 × 5,666.10
  4. Step 4: Simplify right side
    11,910.90x = 101,206,518.34
  5. Step 5: Solve for x
    x = 101,206,518.34/11,910.90
  6. Step 6: Final answer
    x = 8,496.97

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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.