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Finding the Fourth Proportional to 8,457.68, 12,684.50 and 3,193.20

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Solution

The fourth proportional to 8,457.68, 12,684.50 and 3,193.20 is: 4,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.68 : 12,684.50 = 3,193.20 : x
  2. Step 2: Convert to fraction form
    8,457.68/12,684.50 = 3,193.20/x
  3. Step 3: Cross multiply
    8,457.68x = 12,684.50 × 3,193.20
  4. Step 4: Simplify right side
    8,457.68x = 40,504,145.40
  5. Step 5: Solve for x
    x = 40,504,145.40/8,457.68
  6. Step 6: Final answer
    x = 4,789.04

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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.