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Finding the Fourth Proportional to 11,768.68, 17,657.84 and 6,220.56

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Solution

The fourth proportional to 11,768.68, 17,657.84 and 6,220.56 is: 9,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.68 : 17,657.84 = 6,220.56 : x
  2. Step 2: Convert to fraction form
    11,768.68/17,657.84 = 6,220.56/x
  3. Step 3: Cross multiply
    11,768.68x = 17,657.84 × 6,220.56
  4. Step 4: Simplify right side
    11,768.68x = 109,841,653.19
  5. Step 5: Solve for x
    x = 109,841,653.19/11,768.68
  6. Step 6: Final answer
    x = 9,333.39

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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.