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Finding the Fourth Proportional to 8,255, 12,382.50 and 2,411.66

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Solution

The fourth proportional to 8,255, 12,382.50 and 2,411.66 is: 3,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255 : 12,382.50 = 2,411.66 : x
  2. Step 2: Convert to fraction form
    8,255/12,382.50 = 2,411.66/x
  3. Step 3: Cross multiply
    8,255x = 12,382.50 × 2,411.66
  4. Step 4: Simplify right side
    8,255x = 29,862,379.95
  5. Step 5: Solve for x
    x = 29,862,379.95/8,255
  6. Step 6: Final answer
    x = 3,617.49

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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.