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Finding the Fourth Proportional to 7,782.25, 11,673.37 and 2,852.29

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Solution

The fourth proportional to 7,782.25, 11,673.37 and 2,852.29 is: 4,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.25 : 11,673.37 = 2,852.29 : x
  2. Step 2: Convert to fraction form
    7,782.25/11,673.37 = 2,852.29/x
  3. Step 3: Cross multiply
    7,782.25x = 11,673.37 × 2,852.29
  4. Step 4: Simplify right side
    7,782.25x = 33,295,800.20
  5. Step 5: Solve for x
    x = 33,295,800.20/7,782.25
  6. Step 6: Final answer
    x = 4,278.43

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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.