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Finding the Fourth Proportional to 10,833.26, 16,223.91 and 5,890.64

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Solution

The fourth proportional to 10,833.26, 16,223.91 and 5,890.64 is: 8,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.26 : 16,223.91 = 5,890.64 : x
  2. Step 2: Convert to fraction form
    10,833.26/16,223.91 = 5,890.64/x
  3. Step 3: Cross multiply
    10,833.26x = 16,223.91 × 5,890.64
  4. Step 4: Simplify right side
    10,833.26x = 95,569,132.08
  5. Step 5: Solve for x
    x = 95,569,132.08/10,833.26
  6. Step 6: Final answer
    x = 8,821.83

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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.