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Finding the Fourth Proportional to 8,329.34, 12,484.02 and 3,881

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Solution

The fourth proportional to 8,329.34, 12,484.02 and 3,881 is: 5,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.34 : 12,484.02 = 3,881 : x
  2. Step 2: Convert to fraction form
    8,329.34/12,484.02 = 3,881/x
  3. Step 3: Cross multiply
    8,329.34x = 12,484.02 × 3,881
  4. Step 4: Simplify right side
    8,329.34x = 48,450,481.62
  5. Step 5: Solve for x
    x = 48,450,481.62/8,329.34
  6. Step 6: Final answer
    x = 5,816.85

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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.