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Finding the Fourth Proportional to 11,744.68, 17,582.46 and 7,839.40

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Solution

The fourth proportional to 11,744.68, 17,582.46 and 7,839.40 is: 11,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.68 : 17,582.46 = 7,839.40 : x
  2. Step 2: Convert to fraction form
    11,744.68/17,582.46 = 7,839.40/x
  3. Step 3: Cross multiply
    11,744.68x = 17,582.46 × 7,839.40
  4. Step 4: Simplify right side
    11,744.68x = 137,835,936.92
  5. Step 5: Solve for x
    x = 137,835,936.92/11,744.68
  6. Step 6: Final answer
    x = 11,736.03

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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.