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Finding the Fourth Proportional to 6,512.25, 8,986.84 and 3,717.75

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Solution

The fourth proportional to 6,512.25, 8,986.84 and 3,717.75 is: 5,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.25 : 8,986.84 = 3,717.75 : x
  2. Step 2: Convert to fraction form
    6,512.25/8,986.84 = 3,717.75/x
  3. Step 3: Cross multiply
    6,512.25x = 8,986.84 × 3,717.75
  4. Step 4: Simplify right side
    6,512.25x = 33,410,824.41
  5. Step 5: Solve for x
    x = 33,410,824.41/6,512.25
  6. Step 6: Final answer
    x = 5,130.46

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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.