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Finding the Fourth Proportional to 11,008, 16,512.14 and 4,082.50

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Solution

The fourth proportional to 11,008, 16,512.14 and 4,082.50 is: 6,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,008 : 16,512.14 = 4,082.50 : x
  2. Step 2: Convert to fraction form
    11,008/16,512.14 = 4,082.50/x
  3. Step 3: Cross multiply
    11,008x = 16,512.14 × 4,082.50
  4. Step 4: Simplify right side
    11,008x = 67,410,811.55
  5. Step 5: Solve for x
    x = 67,410,811.55/11,008
  6. Step 6: Final answer
    x = 6,123.80

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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.