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Finding the Fourth Proportional to 11,712.96, 17,568.48 and 3,504.96

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Solution

The fourth proportional to 11,712.96, 17,568.48 and 3,504.96 is: 5,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.96 : 17,568.48 = 3,504.96 : x
  2. Step 2: Convert to fraction form
    11,712.96/17,568.48 = 3,504.96/x
  3. Step 3: Cross multiply
    11,712.96x = 17,568.48 × 3,504.96
  4. Step 4: Simplify right side
    11,712.96x = 61,576,819.66
  5. Step 5: Solve for x
    x = 61,576,819.66/11,712.96
  6. Step 6: Final answer
    x = 5,257.15

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Why These Related Problems?

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