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Finding the Fourth Proportional to 10,183.68, 15,284.16 and 8,144.64

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Solution

The fourth proportional to 10,183.68, 15,284.16 and 8,144.64 is: 12,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.68 : 15,284.16 = 8,144.64 : x
  2. Step 2: Convert to fraction form
    10,183.68/15,284.16 = 8,144.64/x
  3. Step 3: Cross multiply
    10,183.68x = 15,284.16 × 8,144.64
  4. Step 4: Simplify right side
    10,183.68x = 124,483,980.90
  5. Step 5: Solve for x
    x = 124,483,980.90/10,183.68
  6. Step 6: Final answer
    x = 12,223.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.