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Finding the Fourth Proportional to 6,833.68, 10,269.78 and 4,060.84

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Solution

The fourth proportional to 6,833.68, 10,269.78 and 4,060.84 is: 6,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.68 : 10,269.78 = 4,060.84 : x
  2. Step 2: Convert to fraction form
    6,833.68/10,269.78 = 4,060.84/x
  3. Step 3: Cross multiply
    6,833.68x = 10,269.78 × 4,060.84
  4. Step 4: Simplify right side
    6,833.68x = 41,703,933.42
  5. Step 5: Solve for x
    x = 41,703,933.42/6,833.68
  6. Step 6: Final answer
    x = 6,102.71

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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.