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Finding the Fourth Proportional to 11,311.68, 15,628.90 and 8,939.84

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Solution

The fourth proportional to 11,311.68, 15,628.90 and 8,939.84 is: 12,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.68 : 15,628.90 = 8,939.84 : x
  2. Step 2: Convert to fraction form
    11,311.68/15,628.90 = 8,939.84/x
  3. Step 3: Cross multiply
    11,311.68x = 15,628.90 × 8,939.84
  4. Step 4: Simplify right side
    11,311.68x = 139,719,865.38
  5. Step 5: Solve for x
    x = 139,719,865.38/11,311.68
  6. Step 6: Final answer
    x = 12,351.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.