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Finding the Fourth Proportional to 7,757.64, 11,634.38 and 3,374.10

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Solution

The fourth proportional to 7,757.64, 11,634.38 and 3,374.10 is: 5,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.64 : 11,634.38 = 3,374.10 : x
  2. Step 2: Convert to fraction form
    7,757.64/11,634.38 = 3,374.10/x
  3. Step 3: Cross multiply
    7,757.64x = 11,634.38 × 3,374.10
  4. Step 4: Simplify right side
    7,757.64x = 39,255,561.56
  5. Step 5: Solve for x
    x = 39,255,561.56/7,757.64
  6. Step 6: Final answer
    x = 5,060.25

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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.