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Finding the Fourth Proportional to 8,524.74, 12,773.85 and 3,256.88

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Solution

The fourth proportional to 8,524.74, 12,773.85 and 3,256.88 is: 4,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.74 : 12,773.85 = 3,256.88 : x
  2. Step 2: Convert to fraction form
    8,524.74/12,773.85 = 3,256.88/x
  3. Step 3: Cross multiply
    8,524.74x = 12,773.85 × 3,256.88
  4. Step 4: Simplify right side
    8,524.74x = 41,602,910.68
  5. Step 5: Solve for x
    x = 41,602,910.68/8,524.74
  6. Step 6: Final answer
    x = 4,880.25

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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.