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Finding the Fourth Proportional to 8,201.72, 12,301.80 and 3,270.04

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Solution

The fourth proportional to 8,201.72, 12,301.80 and 3,270.04 is: 4,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.72 : 12,301.80 = 3,270.04 : x
  2. Step 2: Convert to fraction form
    8,201.72/12,301.80 = 3,270.04/x
  3. Step 3: Cross multiply
    8,201.72x = 12,301.80 × 3,270.04
  4. Step 4: Simplify right side
    8,201.72x = 40,227,378.07
  5. Step 5: Solve for x
    x = 40,227,378.07/8,201.72
  6. Step 6: Final answer
    x = 4,904.75

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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.