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Finding the Fourth Proportional to 10,931.74, 16,375.25 and 5,367.64

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Solution

The fourth proportional to 10,931.74, 16,375.25 and 5,367.64 is: 8,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.74 : 16,375.25 = 5,367.64 : x
  2. Step 2: Convert to fraction form
    10,931.74/16,375.25 = 5,367.64/x
  3. Step 3: Cross multiply
    10,931.74x = 16,375.25 × 5,367.64
  4. Step 4: Simplify right side
    10,931.74x = 87,896,446.91
  5. Step 5: Solve for x
    x = 87,896,446.91/10,931.74
  6. Step 6: Final answer
    x = 8,040.48

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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.