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Finding the Fourth Proportional to 8,012.01, 12,022.32 and 4,116.42

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Solution

The fourth proportional to 8,012.01, 12,022.32 and 4,116.42 is: 6,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.01 : 12,022.32 = 4,116.42 : x
  2. Step 2: Convert to fraction form
    8,012.01/12,022.32 = 4,116.42/x
  3. Step 3: Cross multiply
    8,012.01x = 12,022.32 × 4,116.42
  4. Step 4: Simplify right side
    8,012.01x = 49,488,933.93
  5. Step 5: Solve for x
    x = 49,488,933.93/8,012.01
  6. Step 6: Final answer
    x = 6,176.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.