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Finding the Fourth Proportional to 7,951.76, 11,932.33 and 3,025.54

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Solution

The fourth proportional to 7,951.76, 11,932.33 and 3,025.54 is: 4,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.76 : 11,932.33 = 3,025.54 : x
  2. Step 2: Convert to fraction form
    7,951.76/11,932.33 = 3,025.54/x
  3. Step 3: Cross multiply
    7,951.76x = 11,932.33 × 3,025.54
  4. Step 4: Simplify right side
    7,951.76x = 36,101,741.71
  5. Step 5: Solve for x
    x = 36,101,741.71/7,951.76
  6. Step 6: Final answer
    x = 4,540.09

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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.