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Finding the Fourth Proportional to 11,122.50, 16,687.08 and 6,441.42

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Solution

The fourth proportional to 11,122.50, 16,687.08 and 6,441.42 is: 9,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.50 : 16,687.08 = 6,441.42 : x
  2. Step 2: Convert to fraction form
    11,122.50/16,687.08 = 6,441.42/x
  3. Step 3: Cross multiply
    11,122.50x = 16,687.08 × 6,441.42
  4. Step 4: Simplify right side
    11,122.50x = 107,488,490.85
  5. Step 5: Solve for x
    x = 107,488,490.85/11,122.50
  6. Step 6: Final answer
    x = 9,664.06

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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.