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Finding the Fourth Proportional to 7,617.92, 10,512.81 and 4,474.16

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Solution

The fourth proportional to 7,617.92, 10,512.81 and 4,474.16 is: 6,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.92 : 10,512.81 = 4,474.16 : x
  2. Step 2: Convert to fraction form
    7,617.92/10,512.81 = 4,474.16/x
  3. Step 3: Cross multiply
    7,617.92x = 10,512.81 × 4,474.16
  4. Step 4: Simplify right side
    7,617.92x = 47,035,993.99
  5. Step 5: Solve for x
    x = 47,035,993.99/7,617.92
  6. Step 6: Final answer
    x = 6,174.39

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Why These Related Problems?

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