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Finding the Fourth Proportional to 8,204.67, 12,310.61 and 4,308.17

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Solution

The fourth proportional to 8,204.67, 12,310.61 and 4,308.17 is: 6,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.67 : 12,310.61 = 4,308.17 : x
  2. Step 2: Convert to fraction form
    8,204.67/12,310.61 = 4,308.17/x
  3. Step 3: Cross multiply
    8,204.67x = 12,310.61 × 4,308.17
  4. Step 4: Simplify right side
    8,204.67x = 53,036,117.59
  5. Step 5: Solve for x
    x = 53,036,117.59/8,204.67
  6. Step 6: Final answer
    x = 6,464.14

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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.