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Finding the Fourth Proportional to 8,178.84, 12,266.44 and 3,793.91

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Solution

The fourth proportional to 8,178.84, 12,266.44 and 3,793.91 is: 5,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.84 : 12,266.44 = 3,793.91 : x
  2. Step 2: Convert to fraction form
    8,178.84/12,266.44 = 3,793.91/x
  3. Step 3: Cross multiply
    8,178.84x = 12,266.44 × 3,793.91
  4. Step 4: Simplify right side
    8,178.84x = 46,537,698.56
  5. Step 5: Solve for x
    x = 46,537,698.56/8,178.84
  6. Step 6: Final answer
    x = 5,690.01

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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.