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Finding the Fourth Proportional to 8,135.72, 12,205.11 and 3,693.70

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Solution

The fourth proportional to 8,135.72, 12,205.11 and 3,693.70 is: 5,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.72 : 12,205.11 = 3,693.70 : x
  2. Step 2: Convert to fraction form
    8,135.72/12,205.11 = 3,693.70/x
  3. Step 3: Cross multiply
    8,135.72x = 12,205.11 × 3,693.70
  4. Step 4: Simplify right side
    8,135.72x = 45,081,977.37
  5. Step 5: Solve for x
    x = 45,081,977.37/8,135.72
  6. Step 6: Final answer
    x = 5,541.24

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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.