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Finding the Fourth Proportional to 8,433.70, 11,639.40 and 5,077.60

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Solution

The fourth proportional to 8,433.70, 11,639.40 and 5,077.60 is: 7,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.70 : 11,639.40 = 5,077.60 : x
  2. Step 2: Convert to fraction form
    8,433.70/11,639.40 = 5,077.60/x
  3. Step 3: Cross multiply
    8,433.70x = 11,639.40 × 5,077.60
  4. Step 4: Simplify right side
    8,433.70x = 59,100,217.44
  5. Step 5: Solve for x
    x = 59,100,217.44/8,433.70
  6. Step 6: Final answer
    x = 7,007.63

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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.