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Finding the Fourth Proportional to 10,734.20, 14,814.05 and 5,954.61

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Solution

The fourth proportional to 10,734.20, 14,814.05 and 5,954.61 is: 8,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.20 : 14,814.05 = 5,954.61 : x
  2. Step 2: Convert to fraction form
    10,734.20/14,814.05 = 5,954.61/x
  3. Step 3: Cross multiply
    10,734.20x = 14,814.05 × 5,954.61
  4. Step 4: Simplify right side
    10,734.20x = 88,211,890.27
  5. Step 5: Solve for x
    x = 88,211,890.27/10,734.20
  6. Step 6: Final answer
    x = 8,217.84

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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.