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Finding the Fourth Proportional to 8,342.46, 12,513.69 and 3,410.73

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Solution

The fourth proportional to 8,342.46, 12,513.69 and 3,410.73 is: 5,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.46 : 12,513.69 = 3,410.73 : x
  2. Step 2: Convert to fraction form
    8,342.46/12,513.69 = 3,410.73/x
  3. Step 3: Cross multiply
    8,342.46x = 12,513.69 × 3,410.73
  4. Step 4: Simplify right side
    8,342.46x = 42,680,817.89
  5. Step 5: Solve for x
    x = 42,680,817.89/8,342.46
  6. Step 6: Final answer
    x = 5,116.10

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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.