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Finding the Fourth Proportional to 8,281.36, 12,419.92 and 3,349.56

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Solution

The fourth proportional to 8,281.36, 12,419.92 and 3,349.56 is: 5,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.36 : 12,419.92 = 3,349.56 : x
  2. Step 2: Convert to fraction form
    8,281.36/12,419.92 = 3,349.56/x
  3. Step 3: Cross multiply
    8,281.36x = 12,419.92 × 3,349.56
  4. Step 4: Simplify right side
    8,281.36x = 41,601,267.24
  5. Step 5: Solve for x
    x = 41,601,267.24/8,281.36
  6. Step 6: Final answer
    x = 5,023.48

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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.