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Finding the Fourth Proportional to 10,833.53, 16,251.84 and 4,912.43

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Solution

The fourth proportional to 10,833.53, 16,251.84 and 4,912.43 is: 7,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.53 : 16,251.84 = 4,912.43 : x
  2. Step 2: Convert to fraction form
    10,833.53/16,251.84 = 4,912.43/x
  3. Step 3: Cross multiply
    10,833.53x = 16,251.84 × 4,912.43
  4. Step 4: Simplify right side
    10,833.53x = 79,835,945.11
  5. Step 5: Solve for x
    x = 79,835,945.11/10,833.53
  6. Step 6: Final answer
    x = 7,369.34

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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.