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Finding the Fourth Proportional to 11,273.92, 16,913.64 and 3,878.48

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Solution

The fourth proportional to 11,273.92, 16,913.64 and 3,878.48 is: 5,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,273.92 : 16,913.64 = 3,878.48 : x
  2. Step 2: Convert to fraction form
    11,273.92/16,913.64 = 3,878.48/x
  3. Step 3: Cross multiply
    11,273.92x = 16,913.64 × 3,878.48
  4. Step 4: Simplify right side
    11,273.92x = 65,599,214.47
  5. Step 5: Solve for x
    x = 65,599,214.47/11,273.92
  6. Step 6: Final answer
    x = 5,818.67

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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.