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Finding the Fourth Proportional to 8,538.72, 12,809.20 and 3,343.92

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Solution

The fourth proportional to 8,538.72, 12,809.20 and 3,343.92 is: 5,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.72 : 12,809.20 = 3,343.92 : x
  2. Step 2: Convert to fraction form
    8,538.72/12,809.20 = 3,343.92/x
  3. Step 3: Cross multiply
    8,538.72x = 12,809.20 × 3,343.92
  4. Step 4: Simplify right side
    8,538.72x = 42,832,940.06
  5. Step 5: Solve for x
    x = 42,832,940.06/8,538.72
  6. Step 6: Final answer
    x = 5,016.32

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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.