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Finding the Fourth Proportional to 7,761.89, 11,635.31 and 3,080.36

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Solution

The fourth proportional to 7,761.89, 11,635.31 and 3,080.36 is: 4,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.89 : 11,635.31 = 3,080.36 : x
  2. Step 2: Convert to fraction form
    7,761.89/11,635.31 = 3,080.36/x
  3. Step 3: Cross multiply
    7,761.89x = 11,635.31 × 3,080.36
  4. Step 4: Simplify right side
    7,761.89x = 35,840,893.04
  5. Step 5: Solve for x
    x = 35,840,893.04/7,761.89
  6. Step 6: Final answer
    x = 4,617.55

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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.