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Finding the Fourth Proportional to 8,151.68, 12,218.69 and 3,994.50

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Solution

The fourth proportional to 8,151.68, 12,218.69 and 3,994.50 is: 5,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.68 : 12,218.69 = 3,994.50 : x
  2. Step 2: Convert to fraction form
    8,151.68/12,218.69 = 3,994.50/x
  3. Step 3: Cross multiply
    8,151.68x = 12,218.69 × 3,994.50
  4. Step 4: Simplify right side
    8,151.68x = 48,807,557.21
  5. Step 5: Solve for x
    x = 48,807,557.21/8,151.68
  6. Step 6: Final answer
    x = 5,987.42

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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.