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Finding the Fourth Proportional to 6,833.70, 10,250.96 and 2,153.86

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Solution

The fourth proportional to 6,833.70, 10,250.96 and 2,153.86 is: 3,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.70 : 10,250.96 = 2,153.86 : x
  2. Step 2: Convert to fraction form
    6,833.70/10,250.96 = 2,153.86/x
  3. Step 3: Cross multiply
    6,833.70x = 10,250.96 × 2,153.86
  4. Step 4: Simplify right side
    6,833.70x = 22,079,096.31
  5. Step 5: Solve for x
    x = 22,079,096.31/6,833.70
  6. Step 6: Final answer
    x = 3,230.91

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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.