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Finding the Fourth Proportional to 7,674.44, 11,475.60 and 5,476.36

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Solution

The fourth proportional to 7,674.44, 11,475.60 and 5,476.36 is: 8,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.44 : 11,475.60 = 5,476.36 : x
  2. Step 2: Convert to fraction form
    7,674.44/11,475.60 = 5,476.36/x
  3. Step 3: Cross multiply
    7,674.44x = 11,475.60 × 5,476.36
  4. Step 4: Simplify right side
    7,674.44x = 62,844,516.82
  5. Step 5: Solve for x
    x = 62,844,516.82/7,674.44
  6. Step 6: Final answer
    x = 8,188.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.