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Finding the Fourth Proportional to 7,757.28, 11,637.72 and 2,562.84

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Solution

The fourth proportional to 7,757.28, 11,637.72 and 2,562.84 is: 3,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.28 : 11,637.72 = 2,562.84 : x
  2. Step 2: Convert to fraction form
    7,757.28/11,637.72 = 2,562.84/x
  3. Step 3: Cross multiply
    7,757.28x = 11,637.72 × 2,562.84
  4. Step 4: Simplify right side
    7,757.28x = 29,825,614.32
  5. Step 5: Solve for x
    x = 29,825,614.32/7,757.28
  6. Step 6: Final answer
    x = 3,844.85

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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.