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Finding the Fourth Proportional to 10,405.50, 14,360.46 and 5,929.44

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Solution

The fourth proportional to 10,405.50, 14,360.46 and 5,929.44 is: 8,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.50 : 14,360.46 = 5,929.44 : x
  2. Step 2: Convert to fraction form
    10,405.50/14,360.46 = 5,929.44/x
  3. Step 3: Cross multiply
    10,405.50x = 14,360.46 × 5,929.44
  4. Step 4: Simplify right side
    10,405.50x = 85,149,485.94
  5. Step 5: Solve for x
    x = 85,149,485.94/10,405.50
  6. Step 6: Final answer
    x = 8,183.12

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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.