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Finding the Fourth Proportional to 11,712.87, 17,568.50 and 5,049.07

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Solution

The fourth proportional to 11,712.87, 17,568.50 and 5,049.07 is: 7,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.87 : 17,568.50 = 5,049.07 : x
  2. Step 2: Convert to fraction form
    11,712.87/17,568.50 = 5,049.07/x
  3. Step 3: Cross multiply
    11,712.87x = 17,568.50 × 5,049.07
  4. Step 4: Simplify right side
    11,712.87x = 88,704,517.13
  5. Step 5: Solve for x
    x = 88,704,517.13/11,712.87
  6. Step 6: Final answer
    x = 7,573.25

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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.