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Finding the Fourth Proportional to 10,311.32, 14,229.62 and 5,834.98

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Solution

The fourth proportional to 10,311.32, 14,229.62 and 5,834.98 is: 8,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.32 : 14,229.62 = 5,834.98 : x
  2. Step 2: Convert to fraction form
    10,311.32/14,229.62 = 5,834.98/x
  3. Step 3: Cross multiply
    10,311.32x = 14,229.62 × 5,834.98
  4. Step 4: Simplify right side
    10,311.32x = 83,029,548.11
  5. Step 5: Solve for x
    x = 83,029,548.11/10,311.32
  6. Step 6: Final answer
    x = 8,052.27

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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.