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Finding the Fourth Proportional to 8,266.03, 12,401.09 and 3,878.36

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Solution

The fourth proportional to 8,266.03, 12,401.09 and 3,878.36 is: 5,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.03 : 12,401.09 = 3,878.36 : x
  2. Step 2: Convert to fraction form
    8,266.03/12,401.09 = 3,878.36/x
  3. Step 3: Cross multiply
    8,266.03x = 12,401.09 × 3,878.36
  4. Step 4: Simplify right side
    8,266.03x = 48,095,891.41
  5. Step 5: Solve for x
    x = 48,095,891.41/8,266.03
  6. Step 6: Final answer
    x = 5,818.50

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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.