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Finding the Fourth Proportional to 11,005.44, 16,508.72 and 3,214.88

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Solution

The fourth proportional to 11,005.44, 16,508.72 and 3,214.88 is: 4,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.44 : 16,508.72 = 3,214.88 : x
  2. Step 2: Convert to fraction form
    11,005.44/16,508.72 = 3,214.88/x
  3. Step 3: Cross multiply
    11,005.44x = 16,508.72 × 3,214.88
  4. Step 4: Simplify right side
    11,005.44x = 53,073,553.75
  5. Step 5: Solve for x
    x = 53,073,553.75/11,005.44
  6. Step 6: Final answer
    x = 4,822.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.