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Finding the Fourth Proportional to 11,398.85, 17,099.98 and 4,002.01

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Solution

The fourth proportional to 11,398.85, 17,099.98 and 4,002.01 is: 6,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.85 : 17,099.98 = 4,002.01 : x
  2. Step 2: Convert to fraction form
    11,398.85/17,099.98 = 4,002.01/x
  3. Step 3: Cross multiply
    11,398.85x = 17,099.98 × 4,002.01
  4. Step 4: Simplify right side
    11,398.85x = 68,434,290.96
  5. Step 5: Solve for x
    x = 68,434,290.96/11,398.85
  6. Step 6: Final answer
    x = 6,003.61

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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.