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Finding the Fourth Proportional to 11,096.46, 16,645.37 and 4,522.50

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Solution

The fourth proportional to 11,096.46, 16,645.37 and 4,522.50 is: 6,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.46 : 16,645.37 = 4,522.50 : x
  2. Step 2: Convert to fraction form
    11,096.46/16,645.37 = 4,522.50/x
  3. Step 3: Cross multiply
    11,096.46x = 16,645.37 × 4,522.50
  4. Step 4: Simplify right side
    11,096.46x = 75,278,663.21
  5. Step 5: Solve for x
    x = 75,278,663.21/11,096.46
  6. Step 6: Final answer
    x = 6,784.03

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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.