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Finding the Fourth Proportional to 8,351.84, 12,524.87 and 2,803.85

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Solution

The fourth proportional to 8,351.84, 12,524.87 and 2,803.85 is: 4,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.84 : 12,524.87 = 2,803.85 : x
  2. Step 2: Convert to fraction form
    8,351.84/12,524.87 = 2,803.85/x
  3. Step 3: Cross multiply
    8,351.84x = 12,524.87 × 2,803.85
  4. Step 4: Simplify right side
    8,351.84x = 35,117,895.07
  5. Step 5: Solve for x
    x = 35,117,895.07/8,351.84
  6. Step 6: Final answer
    x = 4,204.81

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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.