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Finding the Fourth Proportional to 8,382.84, 12,563.40 and 3,446.88

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Solution

The fourth proportional to 8,382.84, 12,563.40 and 3,446.88 is: 5,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.84 : 12,563.40 = 3,446.88 : x
  2. Step 2: Convert to fraction form
    8,382.84/12,563.40 = 3,446.88/x
  3. Step 3: Cross multiply
    8,382.84x = 12,563.40 × 3,446.88
  4. Step 4: Simplify right side
    8,382.84x = 43,304,532.19
  5. Step 5: Solve for x
    x = 43,304,532.19/8,382.84
  6. Step 6: Final answer
    x = 5,165.85

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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.