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Finding the Fourth Proportional to 7,462.32, 11,192.04 and 2,844.24

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Solution

The fourth proportional to 7,462.32, 11,192.04 and 2,844.24 is: 4,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.32 : 11,192.04 = 2,844.24 : x
  2. Step 2: Convert to fraction form
    7,462.32/11,192.04 = 2,844.24/x
  3. Step 3: Cross multiply
    7,462.32x = 11,192.04 × 2,844.24
  4. Step 4: Simplify right side
    7,462.32x = 31,832,847.85
  5. Step 5: Solve for x
    x = 31,832,847.85/7,462.32
  6. Step 6: Final answer
    x = 4,265.81

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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.