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Finding the Fourth Proportional to 8,419.74, 12,630.21 and 2,575.59

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Solution

The fourth proportional to 8,419.74, 12,630.21 and 2,575.59 is: 3,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.74 : 12,630.21 = 2,575.59 : x
  2. Step 2: Convert to fraction form
    8,419.74/12,630.21 = 2,575.59/x
  3. Step 3: Cross multiply
    8,419.74x = 12,630.21 × 2,575.59
  4. Step 4: Simplify right side
    8,419.74x = 32,530,242.57
  5. Step 5: Solve for x
    x = 32,530,242.57/8,419.74
  6. Step 6: Final answer
    x = 3,863.57

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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.