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Finding the Fourth Proportional to 11,191.50, 16,795.22 and 4,266

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Solution

The fourth proportional to 11,191.50, 16,795.22 and 4,266 is: 6,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.50 : 16,795.22 = 4,266 : x
  2. Step 2: Convert to fraction form
    11,191.50/16,795.22 = 4,266/x
  3. Step 3: Cross multiply
    11,191.50x = 16,795.22 × 4,266
  4. Step 4: Simplify right side
    11,191.50x = 71,648,387.19
  5. Step 5: Solve for x
    x = 71,648,387.19/11,191.50
  6. Step 6: Final answer
    x = 6,402.04

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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.