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Finding the Fourth Proportional to 11,754.28, 16,221.36 and 6,449.32

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Solution

The fourth proportional to 11,754.28, 16,221.36 and 6,449.32 is: 8,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.28 : 16,221.36 = 6,449.32 : x
  2. Step 2: Convert to fraction form
    11,754.28/16,221.36 = 6,449.32/x
  3. Step 3: Cross multiply
    11,754.28x = 16,221.36 × 6,449.32
  4. Step 4: Simplify right side
    11,754.28x = 104,616,741.48
  5. Step 5: Solve for x
    x = 104,616,741.48/11,754.28
  6. Step 6: Final answer
    x = 8,900.31

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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.