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Finding the Fourth Proportional to 8,263.90, 12,394.44 and 2,419.12

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Solution

The fourth proportional to 8,263.90, 12,394.44 and 2,419.12 is: 3,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.90 : 12,394.44 = 2,419.12 : x
  2. Step 2: Convert to fraction form
    8,263.90/12,394.44 = 2,419.12/x
  3. Step 3: Cross multiply
    8,263.90x = 12,394.44 × 2,419.12
  4. Step 4: Simplify right side
    8,263.90x = 29,983,637.69
  5. Step 5: Solve for x
    x = 29,983,637.69/8,263.90
  6. Step 6: Final answer
    x = 3,628.27

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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.