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Finding the Fourth Proportional to 6,787.92, 10,183.08 and 2,407.92

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Solution

The fourth proportional to 6,787.92, 10,183.08 and 2,407.92 is: 3,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.92 : 10,183.08 = 2,407.92 : x
  2. Step 2: Convert to fraction form
    6,787.92/10,183.08 = 2,407.92/x
  3. Step 3: Cross multiply
    6,787.92x = 10,183.08 × 2,407.92
  4. Step 4: Simplify right side
    6,787.92x = 24,520,041.99
  5. Step 5: Solve for x
    x = 24,520,041.99/6,787.92
  6. Step 6: Final answer
    x = 3,612.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.