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Finding the Fourth Proportional to 7,786.26, 11,610.82 and 7,716.06

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Solution

The fourth proportional to 7,786.26, 11,610.82 and 7,716.06 is: 11,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.26 : 11,610.82 = 7,716.06 : x
  2. Step 2: Convert to fraction form
    7,786.26/11,610.82 = 7,716.06/x
  3. Step 3: Cross multiply
    7,786.26x = 11,610.82 × 7,716.06
  4. Step 4: Simplify right side
    7,786.26x = 89,589,783.77
  5. Step 5: Solve for x
    x = 89,589,783.77/7,786.26
  6. Step 6: Final answer
    x = 11,506.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.