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Finding the Fourth Proportional to 8,082.60, 12,118.50 and 6,524.52

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Solution

The fourth proportional to 8,082.60, 12,118.50 and 6,524.52 is: 9,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.60 : 12,118.50 = 6,524.52 : x
  2. Step 2: Convert to fraction form
    8,082.60/12,118.50 = 6,524.52/x
  3. Step 3: Cross multiply
    8,082.60x = 12,118.50 × 6,524.52
  4. Step 4: Simplify right side
    8,082.60x = 79,067,395.62
  5. Step 5: Solve for x
    x = 79,067,395.62/8,082.60
  6. Step 6: Final answer
    x = 9,782.42

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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.