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Finding the Fourth Proportional to 11,630.54, 17,446.49 and 4,235.78

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Solution

The fourth proportional to 11,630.54, 17,446.49 and 4,235.78 is: 6,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.54 : 17,446.49 = 4,235.78 : x
  2. Step 2: Convert to fraction form
    11,630.54/17,446.49 = 4,235.78/x
  3. Step 3: Cross multiply
    11,630.54x = 17,446.49 × 4,235.78
  4. Step 4: Simplify right side
    11,630.54x = 73,899,493.41
  5. Step 5: Solve for x
    x = 73,899,493.41/11,630.54
  6. Step 6: Final answer
    x = 6,353.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.