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Finding the Fourth Proportional to 11,542.43, 15,922.32 and 7,720.67

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Solution

The fourth proportional to 11,542.43, 15,922.32 and 7,720.67 is: 10,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.43 : 15,922.32 = 7,720.67 : x
  2. Step 2: Convert to fraction form
    11,542.43/15,922.32 = 7,720.67/x
  3. Step 3: Cross multiply
    11,542.43x = 15,922.32 × 7,720.67
  4. Step 4: Simplify right side
    11,542.43x = 122,930,989.21
  5. Step 5: Solve for x
    x = 122,930,989.21/11,542.43
  6. Step 6: Final answer
    x = 10,650.35

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