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Finding the Fourth Proportional to 11,635.52, 16,057.44 and 6,668.48

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Solution

The fourth proportional to 11,635.52, 16,057.44 and 6,668.48 is: 9,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.52 : 16,057.44 = 6,668.48 : x
  2. Step 2: Convert to fraction form
    11,635.52/16,057.44 = 6,668.48/x
  3. Step 3: Cross multiply
    11,635.52x = 16,057.44 × 6,668.48
  4. Step 4: Simplify right side
    11,635.52x = 107,078,717.49
  5. Step 5: Solve for x
    x = 107,078,717.49/11,635.52
  6. Step 6: Final answer
    x = 9,202.74

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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.