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Finding the Fourth Proportional to 10,451.62, 15,679.05 and 3,524.50

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Solution

The fourth proportional to 10,451.62, 15,679.05 and 3,524.50 is: 5,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.62 : 15,679.05 = 3,524.50 : x
  2. Step 2: Convert to fraction form
    10,451.62/15,679.05 = 3,524.50/x
  3. Step 3: Cross multiply
    10,451.62x = 15,679.05 × 3,524.50
  4. Step 4: Simplify right side
    10,451.62x = 55,260,811.73
  5. Step 5: Solve for x
    x = 55,260,811.73/10,451.62
  6. Step 6: Final answer
    x = 5,287.30

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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.