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Finding the Fourth Proportional to 8,346.92, 12,520.38 and 3,415.70

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Solution

The fourth proportional to 8,346.92, 12,520.38 and 3,415.70 is: 5,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.92 : 12,520.38 = 3,415.70 : x
  2. Step 2: Convert to fraction form
    8,346.92/12,520.38 = 3,415.70/x
  3. Step 3: Cross multiply
    8,346.92x = 12,520.38 × 3,415.70
  4. Step 4: Simplify right side
    8,346.92x = 42,765,861.97
  5. Step 5: Solve for x
    x = 42,765,861.97/8,346.92
  6. Step 6: Final answer
    x = 5,123.55

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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.