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Finding the Fourth Proportional to 8,494.88, 12,742.98 and 2,254.75

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Solution

The fourth proportional to 8,494.88, 12,742.98 and 2,254.75 is: 3,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.88 : 12,742.98 = 2,254.75 : x
  2. Step 2: Convert to fraction form
    8,494.88/12,742.98 = 2,254.75/x
  3. Step 3: Cross multiply
    8,494.88x = 12,742.98 × 2,254.75
  4. Step 4: Simplify right side
    8,494.88x = 28,732,234.16
  5. Step 5: Solve for x
    x = 28,732,234.16/8,494.88
  6. Step 6: Final answer
    x = 3,382.30

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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.