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Finding the Fourth Proportional to 8,613.75, 12,920.68 and 3,419.63

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Solution

The fourth proportional to 8,613.75, 12,920.68 and 3,419.63 is: 5,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.75 : 12,920.68 = 3,419.63 : x
  2. Step 2: Convert to fraction form
    8,613.75/12,920.68 = 3,419.63/x
  3. Step 3: Cross multiply
    8,613.75x = 12,920.68 × 3,419.63
  4. Step 4: Simplify right side
    8,613.75x = 44,183,933.07
  5. Step 5: Solve for x
    x = 44,183,933.07/8,613.75
  6. Step 6: Final answer
    x = 5,129.46

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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.