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Finding the Fourth Proportional to 8,419.26, 12,628.05 and 2,575.92

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Solution

The fourth proportional to 8,419.26, 12,628.05 and 2,575.92 is: 3,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.26 : 12,628.05 = 2,575.92 : x
  2. Step 2: Convert to fraction form
    8,419.26/12,628.05 = 2,575.92/x
  3. Step 3: Cross multiply
    8,419.26x = 12,628.05 × 2,575.92
  4. Step 4: Simplify right side
    8,419.26x = 32,528,846.56
  5. Step 5: Solve for x
    x = 32,528,846.56/8,419.26
  6. Step 6: Final answer
    x = 3,863.62

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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.