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Finding the Fourth Proportional to 11,340, 15,649.76 and 6,372

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Solution

The fourth proportional to 11,340, 15,649.76 and 6,372 is: 8,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 15,649.76 = 6,372 : x
  2. Step 2: Convert to fraction form
    11,340/15,649.76 = 6,372/x
  3. Step 3: Cross multiply
    11,340x = 15,649.76 × 6,372
  4. Step 4: Simplify right side
    11,340x = 99,720,270.72
  5. Step 5: Solve for x
    x = 99,720,270.72/11,340
  6. Step 6: Final answer
    x = 8,793.67

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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.