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Finding the Fourth Proportional to 8,406.37, 11,600.69 and 4,629.46

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Solution

The fourth proportional to 8,406.37, 11,600.69 and 4,629.46 is: 6,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.37 : 11,600.69 = 4,629.46 : x
  2. Step 2: Convert to fraction form
    8,406.37/11,600.69 = 4,629.46/x
  3. Step 3: Cross multiply
    8,406.37x = 11,600.69 × 4,629.46
  4. Step 4: Simplify right side
    8,406.37x = 53,704,912.90
  5. Step 5: Solve for x
    x = 53,704,912.90/8,406.37
  6. Step 6: Final answer
    x = 6,388.60

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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.