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Finding the Fourth Proportional to 7,761.80, 11,649.10 and 3,608.20

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Solution

The fourth proportional to 7,761.80, 11,649.10 and 3,608.20 is: 5,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.80 : 11,649.10 = 3,608.20 : x
  2. Step 2: Convert to fraction form
    7,761.80/11,649.10 = 3,608.20/x
  3. Step 3: Cross multiply
    7,761.80x = 11,649.10 × 3,608.20
  4. Step 4: Simplify right side
    7,761.80x = 42,032,282.62
  5. Step 5: Solve for x
    x = 42,032,282.62/7,761.80
  6. Step 6: Final answer
    x = 5,415.28

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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.