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Finding the Fourth Proportional to 8,401.50, 12,616.65 and 7,963.74

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Solution

The fourth proportional to 8,401.50, 12,616.65 and 7,963.74 is: 11,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.50 : 12,616.65 = 7,963.74 : x
  2. Step 2: Convert to fraction form
    8,401.50/12,616.65 = 7,963.74/x
  3. Step 3: Cross multiply
    8,401.50x = 12,616.65 × 7,963.74
  4. Step 4: Simplify right side
    8,401.50x = 100,475,720.27
  5. Step 5: Solve for x
    x = 100,475,720.27/8,401.50
  6. Step 6: Final answer
    x = 11,959.26

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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.