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Finding the Fourth Proportional to 11,227.68, 16,834.32 and 4,658.40

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Solution

The fourth proportional to 11,227.68, 16,834.32 and 4,658.40 is: 6,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.68 : 16,834.32 = 4,658.40 : x
  2. Step 2: Convert to fraction form
    11,227.68/16,834.32 = 4,658.40/x
  3. Step 3: Cross multiply
    11,227.68x = 16,834.32 × 4,658.40
  4. Step 4: Simplify right side
    11,227.68x = 78,420,996.29
  5. Step 5: Solve for x
    x = 78,420,996.29/11,227.68
  6. Step 6: Final answer
    x = 6,984.61

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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.