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Finding the Fourth Proportional to 8,342.38, 12,513.60 and 2,419.64

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Solution

The fourth proportional to 8,342.38, 12,513.60 and 2,419.64 is: 3,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.38 : 12,513.60 = 2,419.64 : x
  2. Step 2: Convert to fraction form
    8,342.38/12,513.60 = 2,419.64/x
  3. Step 3: Cross multiply
    8,342.38x = 12,513.60 × 2,419.64
  4. Step 4: Simplify right side
    8,342.38x = 30,278,344.54
  5. Step 5: Solve for x
    x = 30,278,344.54/8,342.38
  6. Step 6: Final answer
    x = 3,629.46

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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.