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Finding the Fourth Proportional to 8,254.75, 12,382.13 and 2,411.41

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Solution

The fourth proportional to 8,254.75, 12,382.13 and 2,411.41 is: 3,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.75 : 12,382.13 = 2,411.41 : x
  2. Step 2: Convert to fraction form
    8,254.75/12,382.13 = 2,411.41/x
  3. Step 3: Cross multiply
    8,254.75x = 12,382.13 × 2,411.41
  4. Step 4: Simplify right side
    8,254.75x = 29,858,392.10
  5. Step 5: Solve for x
    x = 29,858,392.10/8,254.75
  6. Step 6: Final answer
    x = 3,617.12

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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.