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Finding the Fourth Proportional to 8,411.49, 12,619.08 and 2,568.56

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Solution

The fourth proportional to 8,411.49, 12,619.08 and 2,568.56 is: 3,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.49 : 12,619.08 = 2,568.56 : x
  2. Step 2: Convert to fraction form
    8,411.49/12,619.08 = 2,568.56/x
  3. Step 3: Cross multiply
    8,411.49x = 12,619.08 × 2,568.56
  4. Step 4: Simplify right side
    8,411.49x = 32,412,801.03
  5. Step 5: Solve for x
    x = 32,412,801.03/8,411.49
  6. Step 6: Final answer
    x = 3,853.40

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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.