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Finding the Fourth Proportional to 10,310.92, 14,228.22 and 5,835.22

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Solution

The fourth proportional to 10,310.92, 14,228.22 and 5,835.22 is: 8,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.92 : 14,228.22 = 5,835.22 : x
  2. Step 2: Convert to fraction form
    10,310.92/14,228.22 = 5,835.22/x
  3. Step 3: Cross multiply
    10,310.92x = 14,228.22 × 5,835.22
  4. Step 4: Simplify right side
    10,310.92x = 83,024,793.91
  5. Step 5: Solve for x
    x = 83,024,793.91/10,310.92
  6. Step 6: Final answer
    x = 8,052.12

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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.