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Finding the Fourth Proportional to 11,720.88, 17,583.90 and 3,401.22

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Solution

The fourth proportional to 11,720.88, 17,583.90 and 3,401.22 is: 5,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.88 : 17,583.90 = 3,401.22 : x
  2. Step 2: Convert to fraction form
    11,720.88/17,583.90 = 3,401.22/x
  3. Step 3: Cross multiply
    11,720.88x = 17,583.90 × 3,401.22
  4. Step 4: Simplify right side
    11,720.88x = 59,806,712.36
  5. Step 5: Solve for x
    x = 59,806,712.36/11,720.88
  6. Step 6: Final answer
    x = 5,102.58

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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.