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Finding the Fourth Proportional to 11,733.82, 17,589.28 and 7,504.14

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Solution

The fourth proportional to 11,733.82, 17,589.28 and 7,504.14 is: 11,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.82 : 17,589.28 = 7,504.14 : x
  2. Step 2: Convert to fraction form
    11,733.82/17,589.28 = 7,504.14/x
  3. Step 3: Cross multiply
    11,733.82x = 17,589.28 × 7,504.14
  4. Step 4: Simplify right side
    11,733.82x = 131,992,419.62
  5. Step 5: Solve for x
    x = 131,992,419.62/11,733.82
  6. Step 6: Final answer
    x = 11,248.89

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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.