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Finding the Fourth Proportional to 12,508.44, 18,775.86 and 5,940.12

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Solution

The fourth proportional to 12,508.44, 18,775.86 and 5,940.12 is: 8,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.44 : 18,775.86 = 5,940.12 : x
  2. Step 2: Convert to fraction form
    12,508.44/18,775.86 = 5,940.12/x
  3. Step 3: Cross multiply
    12,508.44x = 18,775.86 × 5,940.12
  4. Step 4: Simplify right side
    12,508.44x = 111,530,861.50
  5. Step 5: Solve for x
    x = 111,530,861.50/12,508.44
  6. Step 6: Final answer
    x = 8,916.45

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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.