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Finding the Fourth Proportional to 11,761.99, 16,230.81 and 6,456.77

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Solution

The fourth proportional to 11,761.99, 16,230.81 and 6,456.77 is: 8,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.99 : 16,230.81 = 6,456.77 : x
  2. Step 2: Convert to fraction form
    11,761.99/16,230.81 = 6,456.77/x
  3. Step 3: Cross multiply
    11,761.99x = 16,230.81 × 6,456.77
  4. Step 4: Simplify right side
    11,761.99x = 104,798,611.01
  5. Step 5: Solve for x
    x = 104,798,611.01/11,761.99
  6. Step 6: Final answer
    x = 8,909.94

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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.