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Finding the Fourth Proportional to 11,454.46, 17,189.80 and 5,215.28

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Solution

The fourth proportional to 11,454.46, 17,189.80 and 5,215.28 is: 7,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.46 : 17,189.80 = 5,215.28 : x
  2. Step 2: Convert to fraction form
    11,454.46/17,189.80 = 5,215.28/x
  3. Step 3: Cross multiply
    11,454.46x = 17,189.80 × 5,215.28
  4. Step 4: Simplify right side
    11,454.46x = 89,649,620.14
  5. Step 5: Solve for x
    x = 89,649,620.14/11,454.46
  6. Step 6: Final answer
    x = 7,826.61

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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.