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Finding the Fourth Proportional to 7,439.29, 11,096.49 and 6,834.82

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Solution

The fourth proportional to 7,439.29, 11,096.49 and 6,834.82 is: 10,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.29 : 11,096.49 = 6,834.82 : x
  2. Step 2: Convert to fraction form
    7,439.29/11,096.49 = 6,834.82/x
  3. Step 3: Cross multiply
    7,439.29x = 11,096.49 × 6,834.82
  4. Step 4: Simplify right side
    7,439.29x = 75,842,511.78
  5. Step 5: Solve for x
    x = 75,842,511.78/7,439.29
  6. Step 6: Final answer
    x = 10,194.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.