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Finding the Fourth Proportional to 11,759.28, 16,221.96 and 6,977.13

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Solution

The fourth proportional to 11,759.28, 16,221.96 and 6,977.13 is: 9,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.28 : 16,221.96 = 6,977.13 : x
  2. Step 2: Convert to fraction form
    11,759.28/16,221.96 = 6,977.13/x
  3. Step 3: Cross multiply
    11,759.28x = 16,221.96 × 6,977.13
  4. Step 4: Simplify right side
    11,759.28x = 113,182,723.77
  5. Step 5: Solve for x
    x = 113,182,723.77/11,759.28
  6. Step 6: Final answer
    x = 9,624.97

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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.