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Finding the Fourth Proportional to 8,172.66, 11,280.29 and 4,638

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Solution

The fourth proportional to 8,172.66, 11,280.29 and 4,638 is: 6,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.66 : 11,280.29 = 4,638 : x
  2. Step 2: Convert to fraction form
    8,172.66/11,280.29 = 4,638/x
  3. Step 3: Cross multiply
    8,172.66x = 11,280.29 × 4,638
  4. Step 4: Simplify right side
    8,172.66x = 52,317,961.83
  5. Step 5: Solve for x
    x = 52,317,961.83/8,172.66
  6. Step 6: Final answer
    x = 6,401.58

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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.