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Finding the Fourth Proportional to 10,310.33, 14,224.55 and 5,834.04

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Solution

The fourth proportional to 10,310.33, 14,224.55 and 5,834.04 is: 8,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.33 : 14,224.55 = 5,834.04 : x
  2. Step 2: Convert to fraction form
    10,310.33/14,224.55 = 5,834.04/x
  3. Step 3: Cross multiply
    10,310.33x = 14,224.55 × 5,834.04
  4. Step 4: Simplify right side
    10,310.33x = 82,986,511.17
  5. Step 5: Solve for x
    x = 82,986,511.17/10,310.33
  6. Step 6: Final answer
    x = 8,048.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.