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Finding the Fourth Proportional to 7,767.75, 11,656.89 and 3,382.68

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Solution

The fourth proportional to 7,767.75, 11,656.89 and 3,382.68 is: 5,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.75 : 11,656.89 = 3,382.68 : x
  2. Step 2: Convert to fraction form
    7,767.75/11,656.89 = 3,382.68/x
  3. Step 3: Cross multiply
    7,767.75x = 11,656.89 × 3,382.68
  4. Step 4: Simplify right side
    7,767.75x = 39,431,528.67
  5. Step 5: Solve for x
    x = 39,431,528.67/7,767.75
  6. Step 6: Final answer
    x = 5,076.31

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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.