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Finding the Fourth Proportional to 8,064.86, 12,101.95 and 3,384.44

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Solution

The fourth proportional to 8,064.86, 12,101.95 and 3,384.44 is: 5,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.86 : 12,101.95 = 3,384.44 : x
  2. Step 2: Convert to fraction form
    8,064.86/12,101.95 = 3,384.44/x
  3. Step 3: Cross multiply
    8,064.86x = 12,101.95 × 3,384.44
  4. Step 4: Simplify right side
    8,064.86x = 40,958,345.45
  5. Step 5: Solve for x
    x = 40,958,345.45/8,064.86
  6. Step 6: Final answer
    x = 5,078.62

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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.