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Finding the Fourth Proportional to 8,140.68, 12,217.50 and 3,212.64

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Solution

The fourth proportional to 8,140.68, 12,217.50 and 3,212.64 is: 4,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.68 : 12,217.50 = 3,212.64 : x
  2. Step 2: Convert to fraction form
    8,140.68/12,217.50 = 3,212.64/x
  3. Step 3: Cross multiply
    8,140.68x = 12,217.50 × 3,212.64
  4. Step 4: Simplify right side
    8,140.68x = 39,250,429.20
  5. Step 5: Solve for x
    x = 39,250,429.20/8,140.68
  6. Step 6: Final answer
    x = 4,821.52

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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.