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Finding the Fourth Proportional to 11,478.51, 17,189.93 and 5,841.36

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Solution

The fourth proportional to 11,478.51, 17,189.93 and 5,841.36 is: 8,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.51 : 17,189.93 = 5,841.36 : x
  2. Step 2: Convert to fraction form
    11,478.51/17,189.93 = 5,841.36/x
  3. Step 3: Cross multiply
    11,478.51x = 17,189.93 × 5,841.36
  4. Step 4: Simplify right side
    11,478.51x = 100,412,540.30
  5. Step 5: Solve for x
    x = 100,412,540.30/11,478.51
  6. Step 6: Final answer
    x = 8,747.87

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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.