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Finding the Fourth Proportional to 8,262.41, 12,392.69 and 2,419.07

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Solution

The fourth proportional to 8,262.41, 12,392.69 and 2,419.07 is: 3,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.41 : 12,392.69 = 2,419.07 : x
  2. Step 2: Convert to fraction form
    8,262.41/12,392.69 = 2,419.07/x
  3. Step 3: Cross multiply
    8,262.41x = 12,392.69 × 2,419.07
  4. Step 4: Simplify right side
    8,262.41x = 29,978,710.54
  5. Step 5: Solve for x
    x = 29,978,710.54/8,262.41
  6. Step 6: Final answer
    x = 3,628.33

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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.