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Finding the Fourth Proportional to 7,399.76, 11,101.24 and 2,782.76

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Solution

The fourth proportional to 7,399.76, 11,101.24 and 2,782.76 is: 4,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.76 : 11,101.24 = 2,782.76 : x
  2. Step 2: Convert to fraction form
    7,399.76/11,101.24 = 2,782.76/x
  3. Step 3: Cross multiply
    7,399.76x = 11,101.24 × 2,782.76
  4. Step 4: Simplify right side
    7,399.76x = 30,892,086.62
  5. Step 5: Solve for x
    x = 30,892,086.62/7,399.76
  6. Step 6: Final answer
    x = 4,174.74

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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.