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Finding the Fourth Proportional to 8,144.68, 11,238.90 and 4,608.16

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Solution

The fourth proportional to 8,144.68, 11,238.90 and 4,608.16 is: 6,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.68 : 11,238.90 = 4,608.16 : x
  2. Step 2: Convert to fraction form
    8,144.68/11,238.90 = 4,608.16/x
  3. Step 3: Cross multiply
    8,144.68x = 11,238.90 × 4,608.16
  4. Step 4: Simplify right side
    8,144.68x = 51,790,649.42
  5. Step 5: Solve for x
    x = 51,790,649.42/8,144.68
  6. Step 6: Final answer
    x = 6,358.83

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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.