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Finding the Fourth Proportional to 7,581.92, 10,463.04 and 4,224.71

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Solution

The fourth proportional to 7,581.92, 10,463.04 and 4,224.71 is: 5,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.92 : 10,463.04 = 4,224.71 : x
  2. Step 2: Convert to fraction form
    7,581.92/10,463.04 = 4,224.71/x
  3. Step 3: Cross multiply
    7,581.92x = 10,463.04 × 4,224.71
  4. Step 4: Simplify right side
    7,581.92x = 44,203,309.72
  5. Step 5: Solve for x
    x = 44,203,309.72/7,581.92
  6. Step 6: Final answer
    x = 5,830.09

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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.