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Finding the Fourth Proportional to 8,020.72, 12,036.32 and 3,638.22

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Solution

The fourth proportional to 8,020.72, 12,036.32 and 3,638.22 is: 5,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.72 : 12,036.32 = 3,638.22 : x
  2. Step 2: Convert to fraction form
    8,020.72/12,036.32 = 3,638.22/x
  3. Step 3: Cross multiply
    8,020.72x = 12,036.32 × 3,638.22
  4. Step 4: Simplify right side
    8,020.72x = 43,790,740.70
  5. Step 5: Solve for x
    x = 43,790,740.70/8,020.72
  6. Step 6: Final answer
    x = 5,459.70

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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.