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Finding the Fourth Proportional to 11,744.48, 17,608.86 and 6,191.96

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Solution

The fourth proportional to 11,744.48, 17,608.86 and 6,191.96 is: 9,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.48 : 17,608.86 = 6,191.96 : x
  2. Step 2: Convert to fraction form
    11,744.48/17,608.86 = 6,191.96/x
  3. Step 3: Cross multiply
    11,744.48x = 17,608.86 × 6,191.96
  4. Step 4: Simplify right side
    11,744.48x = 109,033,356.77
  5. Step 5: Solve for x
    x = 109,033,356.77/11,744.48
  6. Step 6: Final answer
    x = 9,283.80

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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.