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Finding the Fourth Proportional to 12,586.35, 18,874.95 and 5,087.56

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Solution

The fourth proportional to 12,586.35, 18,874.95 and 5,087.56 is: 7,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.35 : 18,874.95 = 5,087.56 : x
  2. Step 2: Convert to fraction form
    12,586.35/18,874.95 = 5,087.56/x
  3. Step 3: Cross multiply
    12,586.35x = 18,874.95 × 5,087.56
  4. Step 4: Simplify right side
    12,586.35x = 96,027,440.62
  5. Step 5: Solve for x
    x = 96,027,440.62/12,586.35
  6. Step 6: Final answer
    x = 7,629.49

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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.