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Finding the Fourth Proportional to 8,271.31, 12,396.53 and 3,338.20

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Solution

The fourth proportional to 8,271.31, 12,396.53 and 3,338.20 is: 5,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.31 : 12,396.53 = 3,338.20 : x
  2. Step 2: Convert to fraction form
    8,271.31/12,396.53 = 3,338.20/x
  3. Step 3: Cross multiply
    8,271.31x = 12,396.53 × 3,338.20
  4. Step 4: Simplify right side
    8,271.31x = 41,382,079.76
  5. Step 5: Solve for x
    x = 41,382,079.76/8,271.31
  6. Step 6: Final answer
    x = 5,003.09

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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.