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Finding the Fourth Proportional to 11,860.92, 16,369.29 and 6,825.33

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Solution

The fourth proportional to 11,860.92, 16,369.29 and 6,825.33 is: 9,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.92 : 16,369.29 = 6,825.33 : x
  2. Step 2: Convert to fraction form
    11,860.92/16,369.29 = 6,825.33/x
  3. Step 3: Cross multiply
    11,860.92x = 16,369.29 × 6,825.33
  4. Step 4: Simplify right side
    11,860.92x = 111,725,806.12
  5. Step 5: Solve for x
    x = 111,725,806.12/11,860.92
  6. Step 6: Final answer
    x = 9,419.66

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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.