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Finding the Fourth Proportional to 11,740.74, 16,202.04 and 6,435.56

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Solution

The fourth proportional to 11,740.74, 16,202.04 and 6,435.56 is: 8,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.74 : 16,202.04 = 6,435.56 : x
  2. Step 2: Convert to fraction form
    11,740.74/16,202.04 = 6,435.56/x
  3. Step 3: Cross multiply
    11,740.74x = 16,202.04 × 6,435.56
  4. Step 4: Simplify right side
    11,740.74x = 104,269,200.54
  5. Step 5: Solve for x
    x = 104,269,200.54/11,740.74
  6. Step 6: Final answer
    x = 8,880.97

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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.