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Finding the Fourth Proportional to 7,379.46, 10,183.05 and 4,192.74

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Solution

The fourth proportional to 7,379.46, 10,183.05 and 4,192.74 is: 5,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379.46 : 10,183.05 = 4,192.74 : x
  2. Step 2: Convert to fraction form
    7,379.46/10,183.05 = 4,192.74/x
  3. Step 3: Cross multiply
    7,379.46x = 10,183.05 × 4,192.74
  4. Step 4: Simplify right side
    7,379.46x = 42,694,881.06
  5. Step 5: Solve for x
    x = 42,694,881.06/7,379.46
  6. Step 6: Final answer
    x = 5,785.64

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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.