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Finding the Fourth Proportional to 11,753.28, 16,219.83 and 6,448.41

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Solution

The fourth proportional to 11,753.28, 16,219.83 and 6,448.41 is: 8,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.28 : 16,219.83 = 6,448.41 : x
  2. Step 2: Convert to fraction form
    11,753.28/16,219.83 = 6,448.41/x
  3. Step 3: Cross multiply
    11,753.28x = 16,219.83 × 6,448.41
  4. Step 4: Simplify right side
    11,753.28x = 104,592,113.97
  5. Step 5: Solve for x
    x = 104,592,113.97/11,753.28
  6. Step 6: Final answer
    x = 8,898.97

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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.