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Finding the Fourth Proportional to 7,735.37, 10,674.64 and 4,198.58

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Solution

The fourth proportional to 7,735.37, 10,674.64 and 4,198.58 is: 5,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.37 : 10,674.64 = 4,198.58 : x
  2. Step 2: Convert to fraction form
    7,735.37/10,674.64 = 4,198.58/x
  3. Step 3: Cross multiply
    7,735.37x = 10,674.64 × 4,198.58
  4. Step 4: Simplify right side
    7,735.37x = 44,818,330.01
  5. Step 5: Solve for x
    x = 44,818,330.01/7,735.37
  6. Step 6: Final answer
    x = 5,793.95

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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.