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Finding the Fourth Proportional to 11,419.76, 17,121.36 and 7,712.72

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Solution

The fourth proportional to 11,419.76, 17,121.36 and 7,712.72 is: 11,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.76 : 17,121.36 = 7,712.72 : x
  2. Step 2: Convert to fraction form
    11,419.76/17,121.36 = 7,712.72/x
  3. Step 3: Cross multiply
    11,419.76x = 17,121.36 × 7,712.72
  4. Step 4: Simplify right side
    11,419.76x = 132,052,255.70
  5. Step 5: Solve for x
    x = 132,052,255.70/11,419.76
  6. Step 6: Final answer
    x = 11,563.49

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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.