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Finding the Fourth Proportional to 11,073.12, 16,608.06 and 4,146

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Solution

The fourth proportional to 11,073.12, 16,608.06 and 4,146 is: 6,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.12 : 16,608.06 = 4,146 : x
  2. Step 2: Convert to fraction form
    11,073.12/16,608.06 = 4,146/x
  3. Step 3: Cross multiply
    11,073.12x = 16,608.06 × 4,146
  4. Step 4: Simplify right side
    11,073.12x = 68,857,016.76
  5. Step 5: Solve for x
    x = 68,857,016.76/11,073.12
  6. Step 6: Final answer
    x = 6,218.39

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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.