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Finding the Fourth Proportional to 8,046.24, 11,104.24 and 4,509.44

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Solution

The fourth proportional to 8,046.24, 11,104.24 and 4,509.44 is: 6,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.24 : 11,104.24 = 4,509.44 : x
  2. Step 2: Convert to fraction form
    8,046.24/11,104.24 = 4,509.44/x
  3. Step 3: Cross multiply
    8,046.24x = 11,104.24 × 4,509.44
  4. Step 4: Simplify right side
    8,046.24x = 50,073,904.03
  5. Step 5: Solve for x
    x = 50,073,904.03/8,046.24
  6. Step 6: Final answer
    x = 6,223.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.