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Finding the Fourth Proportional to 7,474.24, 10,314 and 4,162.24

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Solution

The fourth proportional to 7,474.24, 10,314 and 4,162.24 is: 5,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.24 : 10,314 = 4,162.24 : x
  2. Step 2: Convert to fraction form
    7,474.24/10,314 = 4,162.24/x
  3. Step 3: Cross multiply
    7,474.24x = 10,314 × 4,162.24
  4. Step 4: Simplify right side
    7,474.24x = 42,929,343.36
  5. Step 5: Solve for x
    x = 42,929,343.36/7,474.24
  6. Step 6: Final answer
    x = 5,743.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.