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Finding the Fourth Proportional to 11,773.29, 17,632.25 and 5,519.83

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Solution

The fourth proportional to 11,773.29, 17,632.25 and 5,519.83 is: 8,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.29 : 17,632.25 = 5,519.83 : x
  2. Step 2: Convert to fraction form
    11,773.29/17,632.25 = 5,519.83/x
  3. Step 3: Cross multiply
    11,773.29x = 17,632.25 × 5,519.83
  4. Step 4: Simplify right side
    11,773.29x = 97,327,022.52
  5. Step 5: Solve for x
    x = 97,327,022.52/11,773.29
  6. Step 6: Final answer
    x = 8,266.77

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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.