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Finding the Fourth Proportional to 8,401.92, 11,594.71 and 4,625.16

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Solution

The fourth proportional to 8,401.92, 11,594.71 and 4,625.16 is: 6,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.92 : 11,594.71 = 4,625.16 : x
  2. Step 2: Convert to fraction form
    8,401.92/11,594.71 = 4,625.16/x
  3. Step 3: Cross multiply
    8,401.92x = 11,594.71 × 4,625.16
  4. Step 4: Simplify right side
    8,401.92x = 53,627,388.90
  5. Step 5: Solve for x
    x = 53,627,388.90/8,401.92
  6. Step 6: Final answer
    x = 6,382.75

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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.