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Finding the Fourth Proportional to 11,735.69, 16,195.25 and 7,021.08

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Solution

The fourth proportional to 11,735.69, 16,195.25 and 7,021.08 is: 9,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.69 : 16,195.25 = 7,021.08 : x
  2. Step 2: Convert to fraction form
    11,735.69/16,195.25 = 7,021.08/x
  3. Step 3: Cross multiply
    11,735.69x = 16,195.25 × 7,021.08
  4. Step 4: Simplify right side
    11,735.69x = 113,708,145.87
  5. Step 5: Solve for x
    x = 113,708,145.87/11,735.69
  6. Step 6: Final answer
    x = 9,689.09

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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.