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Finding the Fourth Proportional to 11,378.27, 17,072.19 and 5,458.34

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Solution

The fourth proportional to 11,378.27, 17,072.19 and 5,458.34 is: 8,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.27 : 17,072.19 = 5,458.34 : x
  2. Step 2: Convert to fraction form
    11,378.27/17,072.19 = 5,458.34/x
  3. Step 3: Cross multiply
    11,378.27x = 17,072.19 × 5,458.34
  4. Step 4: Simplify right side
    11,378.27x = 93,185,860.25
  5. Step 5: Solve for x
    x = 93,185,860.25/11,378.27
  6. Step 6: Final answer
    x = 8,189.81

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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.