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Finding the Fourth Proportional to 11,504.75, 15,876.42 and 6,469.82

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Solution

The fourth proportional to 11,504.75, 15,876.42 and 6,469.82 is: 8,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.75 : 15,876.42 = 6,469.82 : x
  2. Step 2: Convert to fraction form
    11,504.75/15,876.42 = 6,469.82/x
  3. Step 3: Cross multiply
    11,504.75x = 15,876.42 × 6,469.82
  4. Step 4: Simplify right side
    11,504.75x = 102,717,579.64
  5. Step 5: Solve for x
    x = 102,717,579.64/11,504.75
  6. Step 6: Final answer
    x = 8,928.28

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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.