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Finding the Fourth Proportional to 11,874.98, 17,814.90 and 4,082.78

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Solution

The fourth proportional to 11,874.98, 17,814.90 and 4,082.78 is: 6,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.98 : 17,814.90 = 4,082.78 : x
  2. Step 2: Convert to fraction form
    11,874.98/17,814.90 = 4,082.78/x
  3. Step 3: Cross multiply
    11,874.98x = 17,814.90 × 4,082.78
  4. Step 4: Simplify right side
    11,874.98x = 72,734,317.42
  5. Step 5: Solve for x
    x = 72,734,317.42/11,874.98
  6. Step 6: Final answer
    x = 6,125.01

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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.