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Finding the Fourth Proportional to 11,860.21, 17,790.29 and 11,138.50

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Solution

The fourth proportional to 11,860.21, 17,790.29 and 11,138.50 is: 16,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.21 : 17,790.29 = 11,138.50 : x
  2. Step 2: Convert to fraction form
    11,860.21/17,790.29 = 11,138.50/x
  3. Step 3: Cross multiply
    11,860.21x = 17,790.29 × 11,138.50
  4. Step 4: Simplify right side
    11,860.21x = 198,157,000.52
  5. Step 5: Solve for x
    x = 198,157,000.52/11,860.21
  6. Step 6: Final answer
    x = 16,707.72

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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.