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Finding the Fourth Proportional to 8,310.78, 12,463.98 and 2,466

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Solution

The fourth proportional to 8,310.78, 12,463.98 and 2,466 is: 3,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.78 : 12,463.98 = 2,466 : x
  2. Step 2: Convert to fraction form
    8,310.78/12,463.98 = 2,466/x
  3. Step 3: Cross multiply
    8,310.78x = 12,463.98 × 2,466
  4. Step 4: Simplify right side
    8,310.78x = 30,736,174.68
  5. Step 5: Solve for x
    x = 30,736,174.68/8,310.78
  6. Step 6: Final answer
    x = 3,698.35

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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.