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Finding the Fourth Proportional to 8,170.84, 12,255.99 and 4,474.81

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Solution

The fourth proportional to 8,170.84, 12,255.99 and 4,474.81 is: 6,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.84 : 12,255.99 = 4,474.81 : x
  2. Step 2: Convert to fraction form
    8,170.84/12,255.99 = 4,474.81/x
  3. Step 3: Cross multiply
    8,170.84x = 12,255.99 × 4,474.81
  4. Step 4: Simplify right side
    8,170.84x = 54,843,226.61
  5. Step 5: Solve for x
    x = 54,843,226.61/8,170.84
  6. Step 6: Final answer
    x = 6,712.07

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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.