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Finding the Fourth Proportional to 8,186.95, 12,282.50 and 3,256.57

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Solution

The fourth proportional to 8,186.95, 12,282.50 and 3,256.57 is: 4,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.95 : 12,282.50 = 3,256.57 : x
  2. Step 2: Convert to fraction form
    8,186.95/12,282.50 = 3,256.57/x
  3. Step 3: Cross multiply
    8,186.95x = 12,282.50 × 3,256.57
  4. Step 4: Simplify right side
    8,186.95x = 39,998,821.03
  5. Step 5: Solve for x
    x = 39,998,821.03/8,186.95
  6. Step 6: Final answer
    x = 4,885.68

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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.