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Finding the Fourth Proportional to 27,776.82, 41,665.31 and 6,716.82

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Solution

The fourth proportional to 27,776.82, 41,665.31 and 6,716.82 is: 10,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.82 : 41,665.31 = 6,716.82 : x
  2. Step 2: Convert to fraction form
    27,776.82/41,665.31 = 6,716.82/x
  3. Step 3: Cross multiply
    27,776.82x = 41,665.31 × 6,716.82
  4. Step 4: Simplify right side
    27,776.82x = 279,858,387.51
  5. Step 5: Solve for x
    x = 279,858,387.51/27,776.82
  6. Step 6: Final answer
    x = 10,075.25

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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.