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Finding the Fourth Proportional to 11,911.09, 17,854.02 and 4,006.08

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Solution

The fourth proportional to 11,911.09, 17,854.02 and 4,006.08 is: 6,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.09 : 17,854.02 = 4,006.08 : x
  2. Step 2: Convert to fraction form
    11,911.09/17,854.02 = 4,006.08/x
  3. Step 3: Cross multiply
    11,911.09x = 17,854.02 × 4,006.08
  4. Step 4: Simplify right side
    11,911.09x = 71,524,553.19
  5. Step 5: Solve for x
    x = 71,524,553.19/11,911.09
  6. Step 6: Final answer
    x = 6,004.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.