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Finding the Fourth Proportional to 8,264.61, 12,396.78 and 3,878.96

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Solution

The fourth proportional to 8,264.61, 12,396.78 and 3,878.96 is: 5,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.61 : 12,396.78 = 3,878.96 : x
  2. Step 2: Convert to fraction form
    8,264.61/12,396.78 = 3,878.96/x
  3. Step 3: Cross multiply
    8,264.61x = 12,396.78 × 3,878.96
  4. Step 4: Simplify right side
    8,264.61x = 48,086,551.76
  5. Step 5: Solve for x
    x = 48,086,551.76/8,264.61
  6. Step 6: Final answer
    x = 5,818.37

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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.