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Finding the Fourth Proportional to 11,761.89, 16,231.77 and 6,457.11

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Solution

The fourth proportional to 11,761.89, 16,231.77 and 6,457.11 is: 8,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.89 : 16,231.77 = 6,457.11 : x
  2. Step 2: Convert to fraction form
    11,761.89/16,231.77 = 6,457.11/x
  3. Step 3: Cross multiply
    11,761.89x = 16,231.77 × 6,457.11
  4. Step 4: Simplify right side
    11,761.89x = 104,810,324.38
  5. Step 5: Solve for x
    x = 104,810,324.38/11,761.89
  6. Step 6: Final answer
    x = 8,911.01

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Why These Related Problems?

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