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Finding the Fourth Proportional to 11,932.48, 16,466.04 and 7,456

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Solution

The fourth proportional to 11,932.48, 16,466.04 and 7,456 is: 10,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.48 : 16,466.04 = 7,456 : x
  2. Step 2: Convert to fraction form
    11,932.48/16,466.04 = 7,456/x
  3. Step 3: Cross multiply
    11,932.48x = 16,466.04 × 7,456
  4. Step 4: Simplify right side
    11,932.48x = 122,770,794.24
  5. Step 5: Solve for x
    x = 122,770,794.24/11,932.48
  6. Step 6: Final answer
    x = 10,288.79

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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.