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Finding the Fourth Proportional to 7,757.45, 11,642.89 and 4,062.26

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Solution

The fourth proportional to 7,757.45, 11,642.89 and 4,062.26 is: 6,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.45 : 11,642.89 = 4,062.26 : x
  2. Step 2: Convert to fraction form
    7,757.45/11,642.89 = 4,062.26/x
  3. Step 3: Cross multiply
    7,757.45x = 11,642.89 × 4,062.26
  4. Step 4: Simplify right side
    7,757.45x = 47,296,509.96
  5. Step 5: Solve for x
    x = 47,296,509.96/7,757.45
  6. Step 6: Final answer
    x = 6,096.91

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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.