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Finding the Fourth Proportional to 8,321.69, 12,482.49 and 2,478.30

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Solution

The fourth proportional to 8,321.69, 12,482.49 and 2,478.30 is: 3,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.69 : 12,482.49 = 2,478.30 : x
  2. Step 2: Convert to fraction form
    8,321.69/12,482.49 = 2,478.30/x
  3. Step 3: Cross multiply
    8,321.69x = 12,482.49 × 2,478.30
  4. Step 4: Simplify right side
    8,321.69x = 30,935,354.97
  5. Step 5: Solve for x
    x = 30,935,354.97/8,321.69
  6. Step 6: Final answer
    x = 3,717.44

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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.