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Finding the Fourth Proportional to 11,638.32, 16,059.68 and 6,793.20

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Solution

The fourth proportional to 11,638.32, 16,059.68 and 6,793.20 is: 9,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.32 : 16,059.68 = 6,793.20 : x
  2. Step 2: Convert to fraction form
    11,638.32/16,059.68 = 6,793.20/x
  3. Step 3: Cross multiply
    11,638.32x = 16,059.68 × 6,793.20
  4. Step 4: Simplify right side
    11,638.32x = 109,096,584.21
  5. Step 5: Solve for x
    x = 109,096,584.21/11,638.32
  6. Step 6: Final answer
    x = 9,373.91

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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.