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Finding the Fourth Proportional to 6,496.20, 8,954.24 and 5,077.41

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Solution

The fourth proportional to 6,496.20, 8,954.24 and 5,077.41 is: 6,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.20 : 8,954.24 = 5,077.41 : x
  2. Step 2: Convert to fraction form
    6,496.20/8,954.24 = 5,077.41/x
  3. Step 3: Cross multiply
    6,496.20x = 8,954.24 × 5,077.41
  4. Step 4: Simplify right side
    6,496.20x = 45,464,322.33
  5. Step 5: Solve for x
    x = 45,464,322.33/6,496.20
  6. Step 6: Final answer
    x = 6,998.60

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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.