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Finding the Fourth Proportional to 8,742.80, 13,113.60 and 2,819.60

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Solution

The fourth proportional to 8,742.80, 13,113.60 and 2,819.60 is: 4,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.80 : 13,113.60 = 2,819.60 : x
  2. Step 2: Convert to fraction form
    8,742.80/13,113.60 = 2,819.60/x
  3. Step 3: Cross multiply
    8,742.80x = 13,113.60 × 2,819.60
  4. Step 4: Simplify right side
    8,742.80x = 36,975,106.56
  5. Step 5: Solve for x
    x = 36,975,106.56/8,742.80
  6. Step 6: Final answer
    x = 4,229.21

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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.