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Finding the Fourth Proportional to 8,284.12, 12,419.20 and 3,357.22

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Solution

The fourth proportional to 8,284.12, 12,419.20 and 3,357.22 is: 5,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.12 : 12,419.20 = 3,357.22 : x
  2. Step 2: Convert to fraction form
    8,284.12/12,419.20 = 3,357.22/x
  3. Step 3: Cross multiply
    8,284.12x = 12,419.20 × 3,357.22
  4. Step 4: Simplify right side
    8,284.12x = 41,693,929.96
  5. Step 5: Solve for x
    x = 41,693,929.96/8,284.12
  6. Step 6: Final answer
    x = 5,033.00

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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.