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Finding the Fourth Proportional to 6,732.68, 10,096.84 and 2,457.80

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Solution

The fourth proportional to 6,732.68, 10,096.84 and 2,457.80 is: 3,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.68 : 10,096.84 = 2,457.80 : x
  2. Step 2: Convert to fraction form
    6,732.68/10,096.84 = 2,457.80/x
  3. Step 3: Cross multiply
    6,732.68x = 10,096.84 × 2,457.80
  4. Step 4: Simplify right side
    6,732.68x = 24,816,013.35
  5. Step 5: Solve for x
    x = 24,816,013.35/6,732.68
  6. Step 6: Final answer
    x = 3,685.90

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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.