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Finding the Fourth Proportional to 11,390.93, 17,084.42 and 5,149.49

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Solution

The fourth proportional to 11,390.93, 17,084.42 and 5,149.49 is: 7,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.93 : 17,084.42 = 5,149.49 : x
  2. Step 2: Convert to fraction form
    11,390.93/17,084.42 = 5,149.49/x
  3. Step 3: Cross multiply
    11,390.93x = 17,084.42 × 5,149.49
  4. Step 4: Simplify right side
    11,390.93x = 87,976,021.36
  5. Step 5: Solve for x
    x = 87,976,021.36/11,390.93
  6. Step 6: Final answer
    x = 7,723.34

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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.