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Finding the Fourth Proportional to 11,093.85, 16,644 and 4,168.89

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Solution

The fourth proportional to 11,093.85, 16,644 and 4,168.89 is: 6,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.85 : 16,644 = 4,168.89 : x
  2. Step 2: Convert to fraction form
    11,093.85/16,644 = 4,168.89/x
  3. Step 3: Cross multiply
    11,093.85x = 16,644 × 4,168.89
  4. Step 4: Simplify right side
    11,093.85x = 69,387,005.16
  5. Step 5: Solve for x
    x = 69,387,005.16/11,093.85
  6. Step 6: Final answer
    x = 6,254.55

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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.