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Finding the Fourth Proportional to 10,286.80, 15,415.80 and 7,633.60

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Solution

The fourth proportional to 10,286.80, 15,415.80 and 7,633.60 is: 11,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.80 : 15,415.80 = 7,633.60 : x
  2. Step 2: Convert to fraction form
    10,286.80/15,415.80 = 7,633.60/x
  3. Step 3: Cross multiply
    10,286.80x = 15,415.80 × 7,633.60
  4. Step 4: Simplify right side
    10,286.80x = 117,678,050.88
  5. Step 5: Solve for x
    x = 117,678,050.88/10,286.80
  6. Step 6: Final answer
    x = 11,439.71

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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.