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Finding the Fourth Proportional to 10,093.92, 13,930.20 and 6,116.04

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Solution

The fourth proportional to 10,093.92, 13,930.20 and 6,116.04 is: 8,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.92 : 13,930.20 = 6,116.04 : x
  2. Step 2: Convert to fraction form
    10,093.92/13,930.20 = 6,116.04/x
  3. Step 3: Cross multiply
    10,093.92x = 13,930.20 × 6,116.04
  4. Step 4: Simplify right side
    10,093.92x = 85,197,660.41
  5. Step 5: Solve for x
    x = 85,197,660.41/10,093.92
  6. Step 6: Final answer
    x = 8,440.49

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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.