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Finding the Fourth Proportional to 11,203.48, 16,793.48 and 4,180.66

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Solution

The fourth proportional to 11,203.48, 16,793.48 and 4,180.66 is: 6,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.48 : 16,793.48 = 4,180.66 : x
  2. Step 2: Convert to fraction form
    11,203.48/16,793.48 = 4,180.66/x
  3. Step 3: Cross multiply
    11,203.48x = 16,793.48 × 4,180.66
  4. Step 4: Simplify right side
    11,203.48x = 70,207,830.10
  5. Step 5: Solve for x
    x = 70,207,830.10/11,203.48
  6. Step 6: Final answer
    x = 6,266.61

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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.