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Finding the Fourth Proportional to 11,609.84, 16,021.89 and 6,830.12

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Solution

The fourth proportional to 11,609.84, 16,021.89 and 6,830.12 is: 9,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.84 : 16,021.89 = 6,830.12 : x
  2. Step 2: Convert to fraction form
    11,609.84/16,021.89 = 6,830.12/x
  3. Step 3: Cross multiply
    11,609.84x = 16,021.89 × 6,830.12
  4. Step 4: Simplify right side
    11,609.84x = 109,431,351.22
  5. Step 5: Solve for x
    x = 109,431,351.22/11,609.84
  6. Step 6: Final answer
    x = 9,425.75

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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.