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Finding the Fourth Proportional to 6,361.74, 8,777.16 and 5,180.76

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Solution

The fourth proportional to 6,361.74, 8,777.16 and 5,180.76 is: 7,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.74 : 8,777.16 = 5,180.76 : x
  2. Step 2: Convert to fraction form
    6,361.74/8,777.16 = 5,180.76/x
  3. Step 3: Cross multiply
    6,361.74x = 8,777.16 × 5,180.76
  4. Step 4: Simplify right side
    6,361.74x = 45,472,359.44
  5. Step 5: Solve for x
    x = 45,472,359.44/6,361.74
  6. Step 6: Final answer
    x = 7,147.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.