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Finding the Fourth Proportional to 10,674.38, 16,003.63 and 5,122.44

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Solution

The fourth proportional to 10,674.38, 16,003.63 and 5,122.44 is: 7,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.38 : 16,003.63 = 5,122.44 : x
  2. Step 2: Convert to fraction form
    10,674.38/16,003.63 = 5,122.44/x
  3. Step 3: Cross multiply
    10,674.38x = 16,003.63 × 5,122.44
  4. Step 4: Simplify right side
    10,674.38x = 81,977,634.46
  5. Step 5: Solve for x
    x = 81,977,634.46/10,674.38
  6. Step 6: Final answer
    x = 7,679.85

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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.