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Finding the Fourth Proportional to 10,165.68, 14,024.52 and 6,183.60

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Solution

The fourth proportional to 10,165.68, 14,024.52 and 6,183.60 is: 8,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.68 : 14,024.52 = 6,183.60 : x
  2. Step 2: Convert to fraction form
    10,165.68/14,024.52 = 6,183.60/x
  3. Step 3: Cross multiply
    10,165.68x = 14,024.52 × 6,183.60
  4. Step 4: Simplify right side
    10,165.68x = 86,722,021.87
  5. Step 5: Solve for x
    x = 86,722,021.87/10,165.68
  6. Step 6: Final answer
    x = 8,530.86

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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.