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Finding the Fourth Proportional to 11,609.36, 16,024.20 and 6,896.96

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Solution

The fourth proportional to 11,609.36, 16,024.20 and 6,896.96 is: 9,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.36 : 16,024.20 = 6,896.96 : x
  2. Step 2: Convert to fraction form
    11,609.36/16,024.20 = 6,896.96/x
  3. Step 3: Cross multiply
    11,609.36x = 16,024.20 × 6,896.96
  4. Step 4: Simplify right side
    11,609.36x = 110,518,266.43
  5. Step 5: Solve for x
    x = 110,518,266.43/11,609.36
  6. Step 6: Final answer
    x = 9,519.76

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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.