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Finding the Fourth Proportional to 6,105.84, 8,426.01 and 3,311.34

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Solution

The fourth proportional to 6,105.84, 8,426.01 and 3,311.34 is: 4,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.84 : 8,426.01 = 3,311.34 : x
  2. Step 2: Convert to fraction form
    6,105.84/8,426.01 = 3,311.34/x
  3. Step 3: Cross multiply
    6,105.84x = 8,426.01 × 3,311.34
  4. Step 4: Simplify right side
    6,105.84x = 27,901,383.95
  5. Step 5: Solve for x
    x = 27,901,383.95/6,105.84
  6. Step 6: Final answer
    x = 4,569.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.