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Finding the Fourth Proportional to 11,952.43, 17,931.07 and 4,161.85

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Solution

The fourth proportional to 11,952.43, 17,931.07 and 4,161.85 is: 6,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.43 : 17,931.07 = 4,161.85 : x
  2. Step 2: Convert to fraction form
    11,952.43/17,931.07 = 4,161.85/x
  3. Step 3: Cross multiply
    11,952.43x = 17,931.07 × 4,161.85
  4. Step 4: Simplify right side
    11,952.43x = 74,626,384.05
  5. Step 5: Solve for x
    x = 74,626,384.05/11,952.43
  6. Step 6: Final answer
    x = 6,243.62

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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.