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Finding the Fourth Proportional to 11,598.80, 17,401.20 and 5,023.46

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Solution

The fourth proportional to 11,598.80, 17,401.20 and 5,023.46 is: 7,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.80 : 17,401.20 = 5,023.46 : x
  2. Step 2: Convert to fraction form
    11,598.80/17,401.20 = 5,023.46/x
  3. Step 3: Cross multiply
    11,598.80x = 17,401.20 × 5,023.46
  4. Step 4: Simplify right side
    11,598.80x = 87,414,232.15
  5. Step 5: Solve for x
    x = 87,414,232.15/11,598.80
  6. Step 6: Final answer
    x = 7,536.49

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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.