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Finding the Fourth Proportional to 8,517.64, 12,775.38 and 6,329.56

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Solution

The fourth proportional to 8,517.64, 12,775.38 and 6,329.56 is: 9,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.64 : 12,775.38 = 6,329.56 : x
  2. Step 2: Convert to fraction form
    8,517.64/12,775.38 = 6,329.56/x
  3. Step 3: Cross multiply
    8,517.64x = 12,775.38 × 6,329.56
  4. Step 4: Simplify right side
    8,517.64x = 80,862,534.23
  5. Step 5: Solve for x
    x = 80,862,534.23/8,517.64
  6. Step 6: Final answer
    x = 9,493.54

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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.