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Finding the Fourth Proportional to 7,674.25, 10,544.56 and 6,099.61

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Solution

The fourth proportional to 7,674.25, 10,544.56 and 6,099.61 is: 8,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.25 : 10,544.56 = 6,099.61 : x
  2. Step 2: Convert to fraction form
    7,674.25/10,544.56 = 6,099.61/x
  3. Step 3: Cross multiply
    7,674.25x = 10,544.56 × 6,099.61
  4. Step 4: Simplify right side
    7,674.25x = 64,317,703.62
  5. Step 5: Solve for x
    x = 64,317,703.62/7,674.25
  6. Step 6: Final answer
    x = 8,380.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.