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Finding the Fourth Proportional to 7,757.91, 11,637.41 and 2,567.43

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Solution

The fourth proportional to 7,757.91, 11,637.41 and 2,567.43 is: 3,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.91 : 11,637.41 = 2,567.43 : x
  2. Step 2: Convert to fraction form
    7,757.91/11,637.41 = 2,567.43/x
  3. Step 3: Cross multiply
    7,757.91x = 11,637.41 × 2,567.43
  4. Step 4: Simplify right side
    7,757.91x = 29,878,222.72
  5. Step 5: Solve for x
    x = 29,878,222.72/7,757.91
  6. Step 6: Final answer
    x = 3,851.32

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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.