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Finding the Fourth Proportional to 6,112.96, 8,435.82 and 3,318.46

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Solution

The fourth proportional to 6,112.96, 8,435.82 and 3,318.46 is: 4,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.96 : 8,435.82 = 3,318.46 : x
  2. Step 2: Convert to fraction form
    6,112.96/8,435.82 = 3,318.46/x
  3. Step 3: Cross multiply
    6,112.96x = 8,435.82 × 3,318.46
  4. Step 4: Simplify right side
    6,112.96x = 27,993,931.24
  5. Step 5: Solve for x
    x = 27,993,931.24/6,112.96
  6. Step 6: Final answer
    x = 4,579.44

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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.