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Finding the Fourth Proportional to 8,217.68, 12,330.16 and 4,321.20

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Solution

The fourth proportional to 8,217.68, 12,330.16 and 4,321.20 is: 6,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.68 : 12,330.16 = 4,321.20 : x
  2. Step 2: Convert to fraction form
    8,217.68/12,330.16 = 4,321.20/x
  3. Step 3: Cross multiply
    8,217.68x = 12,330.16 × 4,321.20
  4. Step 4: Simplify right side
    8,217.68x = 53,281,087.39
  5. Step 5: Solve for x
    x = 53,281,087.39/8,217.68
  6. Step 6: Final answer
    x = 6,483.71

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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.