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Finding the Fourth Proportional to 8,016.62, 12,029.02 and 3,633.50

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Solution

The fourth proportional to 8,016.62, 12,029.02 and 3,633.50 is: 5,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.62 : 12,029.02 = 3,633.50 : x
  2. Step 2: Convert to fraction form
    8,016.62/12,029.02 = 3,633.50/x
  3. Step 3: Cross multiply
    8,016.62x = 12,029.02 × 3,633.50
  4. Step 4: Simplify right side
    8,016.62x = 43,707,465.16
  5. Step 5: Solve for x
    x = 43,707,465.16/8,016.62
  6. Step 6: Final answer
    x = 5,452.11

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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.