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Finding the Fourth Proportional to 11,920.28, 16,450.17 and 6,615.32

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Solution

The fourth proportional to 11,920.28, 16,450.17 and 6,615.32 is: 9,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.28 : 16,450.17 = 6,615.32 : x
  2. Step 2: Convert to fraction form
    11,920.28/16,450.17 = 6,615.32/x
  3. Step 3: Cross multiply
    11,920.28x = 16,450.17 × 6,615.32
  4. Step 4: Simplify right side
    11,920.28x = 108,823,138.60
  5. Step 5: Solve for x
    x = 108,823,138.60/11,920.28
  6. Step 6: Final answer
    x = 9,129.24

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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.