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Finding the Fourth Proportional to 11,568.96, 17,318.88 and 7,874.88

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Solution

The fourth proportional to 11,568.96, 17,318.88 and 7,874.88 is: 11,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.96 : 17,318.88 = 7,874.88 : x
  2. Step 2: Convert to fraction form
    11,568.96/17,318.88 = 7,874.88/x
  3. Step 3: Cross multiply
    11,568.96x = 17,318.88 × 7,874.88
  4. Step 4: Simplify right side
    11,568.96x = 136,384,101.73
  5. Step 5: Solve for x
    x = 136,384,101.73/11,568.96
  6. Step 6: Final answer
    x = 11,788.80

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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.