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Finding the Fourth Proportional to 10,311.30, 14,229.93 and 5,834.97

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Solution

The fourth proportional to 10,311.30, 14,229.93 and 5,834.97 is: 8,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.30 : 14,229.93 = 5,834.97 : x
  2. Step 2: Convert to fraction form
    10,311.30/14,229.93 = 5,834.97/x
  3. Step 3: Cross multiply
    10,311.30x = 14,229.93 × 5,834.97
  4. Step 4: Simplify right side
    10,311.30x = 83,031,214.65
  5. Step 5: Solve for x
    x = 83,031,214.65/10,311.30
  6. Step 6: Final answer
    x = 8,052.45

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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.