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Finding the Fourth Proportional to 11,024.16, 16,519.44 and 6,636.64

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Solution

The fourth proportional to 11,024.16, 16,519.44 and 6,636.64 is: 9,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.16 : 16,519.44 = 6,636.64 : x
  2. Step 2: Convert to fraction form
    11,024.16/16,519.44 = 6,636.64/x
  3. Step 3: Cross multiply
    11,024.16x = 16,519.44 × 6,636.64
  4. Step 4: Simplify right side
    11,024.16x = 109,633,576.28
  5. Step 5: Solve for x
    x = 109,633,576.28/11,024.16
  6. Step 6: Final answer
    x = 9,944.85

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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.