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Finding the Fourth Proportional to 11,967.32, 17,950.33 and 3,647.16

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Solution

The fourth proportional to 11,967.32, 17,950.33 and 3,647.16 is: 5,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.32 : 17,950.33 = 3,647.16 : x
  2. Step 2: Convert to fraction form
    11,967.32/17,950.33 = 3,647.16/x
  3. Step 3: Cross multiply
    11,967.32x = 17,950.33 × 3,647.16
  4. Step 4: Simplify right side
    11,967.32x = 65,467,725.56
  5. Step 5: Solve for x
    x = 65,467,725.56/11,967.32
  6. Step 6: Final answer
    x = 5,470.54

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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.