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Finding the Fourth Proportional to 8,601.70, 12,893.42 and 5,471.86

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Solution

The fourth proportional to 8,601.70, 12,893.42 and 5,471.86 is: 8,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.70 : 12,893.42 = 5,471.86 : x
  2. Step 2: Convert to fraction form
    8,601.70/12,893.42 = 5,471.86/x
  3. Step 3: Cross multiply
    8,601.70x = 12,893.42 × 5,471.86
  4. Step 4: Simplify right side
    8,601.70x = 70,550,989.16
  5. Step 5: Solve for x
    x = 70,550,989.16/8,601.70
  6. Step 6: Final answer
    x = 8,201.98

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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.