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Finding the Fourth Proportional to 11,305.80, 16,954.65 and 5,757.30

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Solution

The fourth proportional to 11,305.80, 16,954.65 and 5,757.30 is: 8,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.80 : 16,954.65 = 5,757.30 : x
  2. Step 2: Convert to fraction form
    11,305.80/16,954.65 = 5,757.30/x
  3. Step 3: Cross multiply
    11,305.80x = 16,954.65 × 5,757.30
  4. Step 4: Simplify right side
    11,305.80x = 97,613,006.45
  5. Step 5: Solve for x
    x = 97,613,006.45/11,305.80
  6. Step 6: Final answer
    x = 8,633.89

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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.