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Finding the Fourth Proportional to 11,340.85, 17,015.17 and 5,105.24

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Solution

The fourth proportional to 11,340.85, 17,015.17 and 5,105.24 is: 7,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.85 : 17,015.17 = 5,105.24 : x
  2. Step 2: Convert to fraction form
    11,340.85/17,015.17 = 5,105.24/x
  3. Step 3: Cross multiply
    11,340.85x = 17,015.17 × 5,105.24
  4. Step 4: Simplify right side
    11,340.85x = 86,866,441.41
  5. Step 5: Solve for x
    x = 86,866,441.41/11,340.85
  6. Step 6: Final answer
    x = 7,659.61

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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.