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Finding the Fourth Proportional to 7,775.26, 11,662.59 and 2,228.59

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Solution

The fourth proportional to 7,775.26, 11,662.59 and 2,228.59 is: 3,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.26 : 11,662.59 = 2,228.59 : x
  2. Step 2: Convert to fraction form
    7,775.26/11,662.59 = 2,228.59/x
  3. Step 3: Cross multiply
    7,775.26x = 11,662.59 × 2,228.59
  4. Step 4: Simplify right side
    7,775.26x = 25,991,131.45
  5. Step 5: Solve for x
    x = 25,991,131.45/7,775.26
  6. Step 6: Final answer
    x = 3,342.80

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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.