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Finding the Fourth Proportional to 8,419.27, 12,606.22 and 5,645.83

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Solution

The fourth proportional to 8,419.27, 12,606.22 and 5,645.83 is: 8,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.27 : 12,606.22 = 5,645.83 : x
  2. Step 2: Convert to fraction form
    8,419.27/12,606.22 = 5,645.83/x
  3. Step 3: Cross multiply
    8,419.27x = 12,606.22 × 5,645.83
  4. Step 4: Simplify right side
    8,419.27x = 71,172,575.06
  5. Step 5: Solve for x
    x = 71,172,575.06/8,419.27
  6. Step 6: Final answer
    x = 8,453.53

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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.