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Finding the Fourth Proportional to 7,716.80, 11,570.73 and 6,794.21

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Solution

The fourth proportional to 7,716.80, 11,570.73 and 6,794.21 is: 10,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.80 : 11,570.73 = 6,794.21 : x
  2. Step 2: Convert to fraction form
    7,716.80/11,570.73 = 6,794.21/x
  3. Step 3: Cross multiply
    7,716.80x = 11,570.73 × 6,794.21
  4. Step 4: Simplify right side
    7,716.80x = 78,613,969.47
  5. Step 5: Solve for x
    x = 78,613,969.47/7,716.80
  6. Step 6: Final answer
    x = 10,187.38

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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.