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Finding the Fourth Proportional to 8,613.84, 12,920.90 and 2,770.50

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Solution

The fourth proportional to 8,613.84, 12,920.90 and 2,770.50 is: 4,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.84 : 12,920.90 = 2,770.50 : x
  2. Step 2: Convert to fraction form
    8,613.84/12,920.90 = 2,770.50/x
  3. Step 3: Cross multiply
    8,613.84x = 12,920.90 × 2,770.50
  4. Step 4: Simplify right side
    8,613.84x = 35,797,339.60
  5. Step 5: Solve for x
    x = 35,797,339.60/8,613.84
  6. Step 6: Final answer
    x = 4,155.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.