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Finding the Fourth Proportional to 7,687.21, 10,608.52 and 4,284.43

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Solution

The fourth proportional to 7,687.21, 10,608.52 and 4,284.43 is: 5,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.21 : 10,608.52 = 4,284.43 : x
  2. Step 2: Convert to fraction form
    7,687.21/10,608.52 = 4,284.43/x
  3. Step 3: Cross multiply
    7,687.21x = 10,608.52 × 4,284.43
  4. Step 4: Simplify right side
    7,687.21x = 45,451,461.34
  5. Step 5: Solve for x
    x = 45,451,461.34/7,687.21
  6. Step 6: Final answer
    x = 5,912.61

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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.