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Finding the Fourth Proportional to 11,924.09, 16,455.99 and 6,889.23

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Solution

The fourth proportional to 11,924.09, 16,455.99 and 6,889.23 is: 9,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.09 : 16,455.99 = 6,889.23 : x
  2. Step 2: Convert to fraction form
    11,924.09/16,455.99 = 6,889.23/x
  3. Step 3: Cross multiply
    11,924.09x = 16,455.99 × 6,889.23
  4. Step 4: Simplify right side
    11,924.09x = 113,369,065.54
  5. Step 5: Solve for x
    x = 113,369,065.54/11,924.09
  6. Step 6: Final answer
    x = 9,507.57

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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.